Question

Set A consists of all prime numbers less than 18. If a number is randomly selected from Set A, what is the probability that the number is 3 or 5 ?

Answer 1

In the set of prime numbers less than 18, the numbers 3 and 5 are both prime numbers.

Set A consists of prime numbers less than 18: {2, 3, 5, 7, 11, 13, 17}

The probability of selecting a prime number that is either 3 or 5 can be calculated as follows:

Total number of prime numbers in set A = 7

Number of prime numbers that are 3 or 5 = 2 (which are 3 and 5)

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 2 (favorable outcomes) / 7 (total possible outcomes)

Therefore, the probability of randomly selecting a number that is either 3 or 5 from Set A is
`\( (2)/(7) \).`

Explanation: