Question

Each friend has a 30% chance to get a musical card. Design a simulation that can be used to estimate the probability that a friend who receives 2 greeting cards will receive at least one musical greeting card

Answer 1

The probability that a friend who receives 2 greeting cards will receive at least one musical greeting card is 0.3

Explanation:

The probability of getting a musical card = P(A) = 30 % or 0.3

Therefore probability of not receiving a plain card = P(A)' = P(B) = 100-30 or 1- 0.3 = 0.7

The probability of receiving at least one musical card when two cards are given is

P(A)×P(A) +P(A)×P(B)-P(B)×P(B) =0.3×0.3+0.3×0.7 = 0.3

The probability of receiving at least one musical card = 0.3