The probability of event A occurring is 50%, and the probability of event B occurring is 25%. Events A and B are nonsimultaneous events. What is the probability that event A occurs but event B does not occur?

1 Answer
Jan 7, 2016

Probability event A occurs but event B does not occur# =0.375#

Explanation:

Probability of event A occurring #P_A = 50% = 0.5#
Probability of event B occurring #P_B=25%=0.25#

Event A and B will not occur simultaneously.

Probability event A occurs but event B does not occur = Probability of event A occurring #xx# Probability of event B not occurring

Probability of event B not occurring #Q_B= 1 - P_B=1-0.25=0.75#

Probability event A occurs but event B does not occur# =P_A xx Q_B = 0.5 xx 0.75= 0.375#