Problema Solution
a single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a 5 or a king?
Answer provided by our tutors
These events are mutually exclusive since they cannot occur at the same time.
When two events, A and B, are mutually exclusive, the probability that A or B will occur is the sum of the probability of each event:
P(A or B) = P(A) + P(B)
A: 5 is chosen
B: king is chosen
P(A) = 4/52
P(B) = 4/52
P(A or B) = P(A) + P(B)
P(A or B) = 4/52 + 4/52
P(A or B) = 2*4/52
P(A or B) = 0.1538
the probability of choosing a 5 or a king is 0.1538.