Question

The two-way table below describes the members of the U.S Senate in a recent year. Male Female Democrats 47 13 Republicans 36 4 If we select a U.S. senator at random, what's the probability that the senator is a female and a Democrat?

Two-way tables
ANSWERED
asked 2021-06-07
The two-way table below describes the members of the U.S Senate in a recent year.
Male Female
Democrats 47 13
Republicans 36 4
If we select a U.S. senator at random, what's the probability that the senator is a female and a Democrat?

Expert Answers (1)

2021-06-08

The table contains data about 47 + 13+ 36+ 4 = 100 members in total. We note that 13 of the 100 members in the table are female and Democrats
The probability is the number of favorable outcomes divided by the number of possible outcomes:
P(Female and Democrats)=\(\frac{ \text{# of favorable outcomes}}{ \text{# of possible outcomes}}\)\(\displaystyle=\frac{{13}}{{100}}={0.13}\)

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