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Tju [1.3M]
2 years ago
15

rom the sample space S=​{1, ​2, 3,​ 4,..., 15} a single number is to be selected at random. Given the following​ events, find th

e 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(C∣A​)
Mathematics
1 answer:
Alex Ar [27]2 years ago
6 0

The probability that the selected number is even, multiple of 4 and prime are 7/15, 1/5 and 2/5 respectively

<h3>What is Probability?</h3>

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given the following set

S=​{1, ​2, 3,​ 4,..., 15}

n(S) = 15

<u>If the selected number is even</u>

E = {2, 4, 6, 8, 10, 12, 14}

n(E) = 7

Pr(selecting even number) = n(E)/n(S)

Pr(selecting even number) = 7/15

<u>If the selected number is a multiple of 4</u>

E = {4, 8, 12}

n(E) = 3

Pr(multiple of 4) = n(E)/n(S)

Pr(multiple of 4) = 3/15 = 1/5

<u>If the selected number is a prime number</u>

E = {2, 3, 5, 7, 11, 13}

n(E) = 6

Pr(prime number) = n(E)/n(S)

Pr(prime number) = 6/15 = 2/5

Learn more on probability here: brainly.com/question/25870256

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