All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
ACT Exam  >  ACT Questions  >  Three students have to be chosen out of 12 st... Start Learning for Free
Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.
  • a)
    39/44
  • b)
    37/44
  • c)
    31/45
  • d)
    31/44
Correct answer is option 'B'. Can you explain this answer?
Clear all your ACT doubts with EduRev
Verified Answer
Three students have to be chosen out of 12 students consisting of seve...
Given:
Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.
Formula:
Probability that at least one boy will be selected = 1 – (probability that no boys will be selected)
Calculation:
Probability that no boys will be selected = probability that only girls will be selected
⇒ Probability that only girls will be selected = 7C3/12C3 = 7 × 6 × 5/12 × 11 × 10 = 7/44
⇒ Probability that at least one boy will be selected = 1 – (7/44) = 37/44
∴ Required probability = 37/44
View all questions of this test
Most Upvoted Answer
Three students have to be chosen out of 12 students consisting of seve...
Given:
Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.
Formula:
Probability that at least one boy will be selected = 1 – (probability that no boys will be selected)
Calculation:
Probability that no boys will be selected = probability that only girls will be selected
⇒ Probability that only girls will be selected = 7C3/12C3 = 7 × 6 × 5/12 × 11 × 10 = 7/44
⇒ Probability that at least one boy will be selected = 1 – (7/44) = 37/44
∴ Required probability = 37/44
Explore Courses for ACT exam

Similar ACT Doubts

The period of a simple pendulum T is defined as the amount of time that it takes for a pendulum to swing from one end to the other and back. In studying the period of a simple pendulum, two students express their opinions.Student 1: The period of a pendulum depends on two factors: the mass of the pendulums bob (the object swinging at the end of the pendulum) and the length of the pendulum. The height at which the pendulum is originally dropped does not affect the period T.Student 2: The period of a pendulum T only depends on the length of the pendulum. Varying the mass and the height at which the pendulum is originally dropped does not affect how long the pendulum takes to swing across.The two students ran a series of trials to measure the period of a simple pendulum using varying weights and lengths. The students did not measure height as a factor. The results of the trials can be seen in the table below:Q. Before analyzing the data collected, the two students go out into a local playground and use the swing set to test their hypotheses in an approximate manner. Student 1 and Student 2 are almost exactly the same mass, so Student 2 swings wearing his backpack full of books. Both students begin swinging from the same height and swing exactly three times each in exactly twelve seconds. Whose hypothesis has been supported in this brief trial?

Directions:Read the passages and choose the best answer to each question.PassageA group of students conducted several experiments using a variety of nonstick cookware, a spring scale, and several different weighted objects. Their goal was to determine which brand of cookware products had the best nonstick surface by measuring the coefficient of static friction, which is a measure of how resistant a stationary object is to movement.Experiment 1A student connected the spring scale to a weighted object that was placed inside a piece of nonstick cookware as shown in Figure 1.The students planned to calculate the coefficient of static friction by determining the force required to disturb an object from rest. During the experiment, one student anchored the nonstick cookware be holding tightly to the handle while the other student attached a weighted, smooth steel object to the spring scale. The student pulled on the spring until the object began to move. A third student recorded the force in newtons, N, indicated on the spring scale at the moment the object began to move across the nonstick surface.This procedure was repeated for 3 different brands of cookware; each brand of cookware was tested with various weighted objects. The coefficient of static friction was calculated by dividing the average force required to move the object by its weight (mass × g, the gravitational constant).The results are shown in Table 1.Experiment 2The students performed an experiment similar to Experiment 1, except three different brands of cooking spray were applied to the same cookware surface before the weights were put in place. The results are shown in Table 2.Q.The students’ instructor gave them one piece of nonstick cookware and asked them to identify the brand. The students repeated the procedures followed in Experiment 1 and obtained average forces of 0.088 N for the 150 gram object and 0.149 N for the 250 gram object. Which of the following brands would most likely have produced these results?

Directions:Read the passages and choose the best answer to each question.PassageA group of students conducted several experiments using a variety of nonstick cookware, a spring scale, and several different weighted objects. Their goal was to determine which brand of cookware products had the best nonstick surface by measuring the coefficient of static friction, which is a measure of how resistant a stationary object is to movement.Experiment 1A student connected the spring scale to a weighted object that was placed inside a piece of nonstick cookware as shown in Figure 1.The students planned to calculate the coefficient of static friction by determining the force required to disturb an object from rest. During the experiment, one student anchored the nonstick cookware be holding tightly to the handle while the other student attached a weighted, smooth steel object to the spring scale. The student pulled on the spring until the object began to move. A third student recorded the force in newtons, N, indicated on the spring scale at the moment the object began to move across the nonstick surface.This procedure was repeated for 3 different brands of cookware; each brand of cookware was tested with various weighted objects. The coefficient of static friction was calculated by dividing the average force required to move the object by its weight (mass × g, the gravitational constant).The results are shown in Table 1.Experiment 2The students performed an experiment similar to Experiment 1, except three different brands of cooking spray were applied to the same cookware surface before the weights were put in place. The results are shown in Table 2.Q.According to the passage, for the students to accurately measure the coefficient of static friction, which force would have to be overcome?

Directions:Read the passage and choose the best answer to each question.PassageSome students performed three studies to measure the average speed on a flat surface of a remote-controlled car with different types of wheels. Each study was conducted indoors in a temperature-controlled room. A straight track was constructed and measured to be 75 feet long. The car’s travel time was measured from start to finish with a stopwatch. The temperature in the room was kept constant at 20 F and the surface was returned to its original condition after each trial. No modifications were made to the car aside from changing the wheels, and the car’s batteries were fully charged before each trial.Study 1The students fitted the car with hard rubber wheels, which had deep treads, and placed it on the surface. One student started the car as another student simultaneously started the stopwatch. The student stopped the stopwatch as the car crossed the 75-foot mark. The students calculated the results of three separate trials and averaged the results (see Table 1).Study 2The students repeated the procedure used in Study 1, except they fitted the car with soft rubber wheels, which were smooth and lacked treads. The results are shown in Table 2.Study 3The students repeated the procedure used in Study 1, except they fitted the car with hard rubber wheels, which had studs imbedded into them instead of treads. The results are shown in Table 3.Q.According to Study 1, the average speed for all three trials was

Top Courses for ACTView all

Top Courses for ACT

Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.a)39/44b)37/44c)31/45d)31/44Correct answer is option 'B'. Can you explain this answer?
Question Description
Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.a)39/44b)37/44c)31/45d)31/44Correct answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.a)39/44b)37/44c)31/45d)31/44Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.a)39/44b)37/44c)31/45d)31/44Correct answer is option 'B'. Can you explain this answer?.
Solutions for Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.a)39/44b)37/44c)31/45d)31/44Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT. Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.a)39/44b)37/44c)31/45d)31/44Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.a)39/44b)37/44c)31/45d)31/44Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.a)39/44b)37/44c)31/45d)31/44Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.a)39/44b)37/44c)31/45d)31/44Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Three students have to be chosen out of 12 students consisting of seven girls and five boys. Find the probability that at least one boy will be selected.a)39/44b)37/44c)31/45d)31/44Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice ACT tests.
Explore Courses for ACT exam

Top Courses for ACT

Explore Courses
SaveJoin the Discussion on the App for FREE
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup