The probability that the selected number is even, multiple of 4 and prime are 7/15, 1/5 and 2/5 respectively
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
If the selected number is even
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
If the selected number is a multiple of 4
E = {4, 8, 12}
n(E) = 3
Pr(multiple of 4) = n(E)/n(S)
Pr(multiple of 4) = 3/15 = 1/5
If the selected number is a prime number
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: https://brainly.com/question/25870256
