Elliot wrote a computer program that randomly generates a number from 2 to 10. If he runs the program twice, what is the probabi

Question

4 years ago

8

lity that the number generated both times is a prime number?

2 answers:

Juliette [100K] · Answer 1 · 2021-12-17T03:40:46+03:00

8 0

Answer: 6/81

Step-by-step explanation:

Afina-wow [57] · Answer 2 · 2021-12-17T02:04:43+03:00

Answer:

16/81

Step-by-step explanation:

The program generates numbers from 2 to 10; this is 9 total possible values (2, 3, 4, 5, 6, 7, 8, 9, 10).

Out of these, there are 4 prime numbers: 2, 3, 5, 7

The probability of choosing a prime number once is 4/9.

The probability of choosing a prime number the second time is 4/9.

Together, the total probability is 4/9(4/9) = 16/81.