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kherson [118]
4 years ago
8

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

lity that the number generated both times is a prime number?
Mathematics
2 answers:
Juliette [100K]4 years ago
8 0

Answer: 6/81

Step-by-step explanation:

Afina-wow [57]4 years ago
5 0

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.

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Step-by-step explanation:

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Alternative hypothesis: \mu \neq 0

The reason is because the output says a bilateral test so for this case w eselect this option.

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