A number is chosen at random from 21
– 30 inclusive. Find the probability that it is a prime or a multiple of 4.
Solution
THIS
IS A MUTUALLY EXCLUSIVE EVENT!
Let n(S) represent sample space
P(M) = probability of a multiple of 4
P(R) = probability of prime number
n(S) = {21, 22, 23, 24, 25, 26, 27,
28, 29, 30} = 10
n(M) = {24, 28} = 2
n(R) = {23, 29} = 2
P(M) = 2/10
P(R) = 2/10
………………………….
P(MuR) = P(M) + P(R)
P(MuR) = 2/10 + 2/10
P(MuR) = 4/10
= 2/5
P(MuR) = 2/5 answer
TRY
THIS…………………
A number is chosen at random from 10
– 30 inclusive. Find the probability that it is a prime or a multiple of 5.
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