Multiple choice

One ticket is drawn at random from a bag containing 24 tickets numbered 1 to 24. Represent the sample space and the event of drawing a ticket containing number which is a prime also find the number of elements in them.

  1. $n(S)=24$ and $n(E)=8$
  2. $n(S)=24$ and $n(E)=7$
  3. $n(S)=24$ and $n(E)=9$
  4. $n(S)=24$ and $n(E)=10$
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C Correct answer
Explanation

Sample space S = {1, 2, ..., 24}, so n(S) = 24. Prime numbers between 1 and 24: {2, 3, 5, 7, 11, 13, 17, 19, 23}. Counting these, there are 9 primes. Thus, n(E) = 9.

AI explanation

The sample space for drawing one ticket from 24 is all the tickets, so the number of elements is n(S) = 24. The event of drawing a prime number includes 2, 3, 5, 7, 11, 13, 17, 19, and 23. Counting these gives n(E) = 9.

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