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# Basic probability problems

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1.) The probability of your doctor being late for the appointment is .4 and the probability the HMO will pay for your prescription is .7 and these events are independent of each other.

a) Use the letters D and H to describe the "plain" events.
D="
H="

b) Write correct probability statements for the
following probabilities.
.4 =P( ) .7= P( )

2. Suppose we are selecting a person at random from an organization with 40% men and 60% women. We are told, for the women, 2% are pregnant and for the men, 0% are pregnant.

a) Use the letters M and W and P describe the "plain" events.
M= "
W= "
P= "

b.) Write correct probability statements for the following probabilities
.40 =P( )

.02 =P( )

.60 =P( )

.0 =P( )

c.) Find the probability that the person is a woman and is pregnant
P( )

d.) Find the probability that the person is a man and pregnant.
P( )

e.) Prove with probabilities that male and pregnant are mutually exclusive.
P( )

f.) Check if woman and pregnant are independent. Justify with probabilities. P( )