Question

if a prime number is less than 23, what is the probability that it is also less than 11

Answer 1

2,3,5,7, are the prime numbers

Answer 2

Answer:

If a prime number is less than 23, then the probability that it is also less than 11 is 0.5.

Step-by-step explanation:

The prime numbers which are less than 23,

2,3,5,7,11,13,17,19

Total prime numbers which are less than 23 is 8.

The prime numbers which are less than 11,

2,3,5,7

Total prime numbers which are less than 11 is 4.

If a prime number is less than 23, then the probability that it is also less than 11 is

$P=\frac{\text{Possible outcomes}}{\text{Total outcomes}}$

$P=\frac{4}{8}=0.5$

Therefore the required probability is 0.5.