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A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked?
a. 1/50
b. 3/25
c. 21/46
d. 25/122?
a. 1/50
b. 3/25
c. 21/46
d. 25/122?
Most Upvoted Answer
A class consists of 15 girls and 10 boys. Three students are to be ran...
Solution:
Total number of ways to select three students out of 25 students is given by:
n(S) = 25C3 = (25 * 24 * 23)/(3 * 2 * 1) = 2300
Let A be the event of selecting one boy and two girls.
Number of ways to select one boy out of 10 boys is given by:
n(E1) = 10C1 = 10
Number of ways to select two girls out of 15 girls is given by:
n(E2) = 15C2 = (15 * 14)/(2 * 1) = 105
Therefore, the total number of ways to select one boy and two girls is given by:
n(A) = n(E1) * n(E2) = 10 * 105 = 1050
Therefore, the probability of selecting one boy and two girls is given by:
P(A) = n(A)/n(S) = 1050/2300 = 21/46
Hence, the answer is option (c) 21/46.
Total number of ways to select three students out of 25 students is given by:
n(S) = 25C3 = (25 * 24 * 23)/(3 * 2 * 1) = 2300
Let A be the event of selecting one boy and two girls.
Number of ways to select one boy out of 10 boys is given by:
n(E1) = 10C1 = 10
Number of ways to select two girls out of 15 girls is given by:
n(E2) = 15C2 = (15 * 14)/(2 * 1) = 105
Therefore, the total number of ways to select one boy and two girls is given by:
n(A) = n(E1) * n(E2) = 10 * 105 = 1050
Therefore, the probability of selecting one boy and two girls is given by:
P(A) = n(A)/n(S) = 1050/2300 = 21/46
Hence, the answer is option (c) 21/46.
Community Answer
A class consists of 15 girls and 10 boys. Three students are to be ran...
Ans. C
n(E)= 10C1*15C2
(1 boy from 10 and 2 girls from 15)
n(S)= 25C3 ( no of selections to be made - 3 from total of 25)
probability= n(E)/n(S) = 10C1*15C2/25C3 = 21/46
n(E)= 10C1*15C2
(1 boy from 10 and 2 girls from 15)
n(S)= 25C3 ( no of selections to be made - 3 from total of 25)
probability= n(E)/n(S) = 10C1*15C2/25C3 = 21/46
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A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked?a. 1/50b. 3/25c. 21/46d. 25/122?
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A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked?a. 1/50b. 3/25c. 21/46d. 25/122? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked?a. 1/50b. 3/25c. 21/46d. 25/122? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked?a. 1/50b. 3/25c. 21/46d. 25/122?.
A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked?a. 1/50b. 3/25c. 21/46d. 25/122? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked?a. 1/50b. 3/25c. 21/46d. 25/122? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked?a. 1/50b. 3/25c. 21/46d. 25/122?.
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