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What is the probability that a number selected from the numbers 1, 2, 3,..., 20, is a prime number when each of the given numbers is equally likely to be selected?
  • a)
    7/10
  • b)
    2/15
  • c)
    2/5
  • d)
    3/5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is the probability that a number selected from the numbers 1, 2, ...
E = {2,3,5,7,11,13,17,19} ⇒ n (E) = 8 S = {1,2,3,4,20} ⇒ n (S) = 20 ∴  
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Most Upvoted Answer
What is the probability that a number selected from the numbers 1, 2, ...
Probability of selecting a prime number
- There are a total of 20 numbers in the given set.
- We need to find the probability of selecting a prime number from this set.

Prime numbers between 1 and 20
- Prime numbers between 1 and 20 are: 2, 3, 5, 7, 11, 13, 17, 19.
- There are 8 prime numbers in the set.

Calculating the probability
- Probability = (Number of favorable outcomes) / (Total number of outcomes)
- Number of favorable outcomes = 8 (the prime numbers)
- Total number of outcomes = 20 (the total numbers in the set)

Probability = 8 / 20 = 2/5
Therefore, the probability that a number selected from the numbers 1 to 20 is a prime number is 2/5.
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Directions: Study the given information and answer the question that follows.In a high school, students have the option to choose two elective courses: Photography and Music. All students in the Art Department are required to take both courses, while students from other departments can select one of the two options. Grades are given based on performance with A, B and C representing different levels of achievement and F for failure. Consider the following additional information about the number of students who took these courses this year and the grades they obtained:(i) The ratio of the number of non-Art Department students who chose Photography to that of those who chose Music was 3 : 4.(ii) The total number of non-Art Department students who took either Photography or Music was equal to the number of Art Department students.(iii) The number of non-Art Department students who failed in both Photography and Music courses was the same, and this total was equivalent to the number of Art Department students who received grade C in Music.(iv) Among the students who passed Music courses, 60% achieved grade B. However, while the numbers of students who received grades A and C were equal for Photography, the ratio for Music was 24 : 7.(v) No Art Department student failed in the Photography course, and no non-Art Department student received grade A in Photography.(vi) The ratio of the numbers of Art Department students who received grades A, B and C in Photography was 3 : 5 : 2, while for Music, the ratio was 4 : 5 : 1.(vii) The ratio of the total number of non-Art Department students failing in either of the two courses to the number of Art Department students failing in either of the two courses was 2 : 1.(viii) A total of 20 students failed in the Music course.Q.What is the number of non-Art Music students who got grade A? Key in the number. Correct answer is '16'. Can you explain this answer?

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What is the probability that a number selected from the numbers 1, 2, 3,..., 20, is a prime number when each of the given numbers is equally likely to be selected?a)7/10b)2/15c)2/5d)3/5Correct answer is option 'C'. Can you explain this answer?
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