Homework Check Probability

Hello, needed some assistance with these questions. Use the chart to get the answer. Thanks.

WORK IS NEEDED!

Table

NO YES

FEMALE 43 36
MALE 61 60

Question #1

Is P(M & S) equal to P(M) multiplied by P(S | M)? Why or why not?

Question #2

Calculate P(M or S), the probability that X is male or smokes.

Question #3

Is P(M or S) equal to P(M) + P(S)? Why or why not?

Question #4

Is P(M or S) equal to P(M) + P(S) – P(M & S)? Why or why not?

Please attach pictures of the work on a notebook if possible.

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