SOLUTION: From the Sample space S={1,2,3,4....,15}, a single number is to be selected at random. Given the following events, find the indicated probability.
A: The selected number is eve
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Question 1202159: From the Sample space S={1,2,3,4....,15}, a single number is to be selected at random. Given the following events, find the indicated probability.
A: The selected number is even
B: The selected number is a multiple of 4.
C: The selected number is a prime number.
P(B and C)=
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
Answer: 0
Reason:
The number is a multiple of 4.
So we have 4,8,12,16,...
None of those are prime numbers. A prime is a number that has factors of 1 and itself, and no other factors.
Example: 7 is prime because the only factors are 1 and 7.
Therefore, there is no such number that is both prime and a multiple of 4.
P(B and C) = 0 to indicate it is impossible for both events B and C to occur at the same time.
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