The venn diagram shows the results of two events resulting from rolling a number cube.

find p(a | b).

p(a) × p(b)
p(b)
p(a)

.

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

.

Now

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step-by-step explanation: