Chapter 1.3, Problem 3E

Let $A_1$ and $A_2$ be the events that a person is left- eye dominant or right-eye dominant, respectively. When a person folds his or her hands, let $B_1$ and $B_2$ be the events that the left thumb and right thumb, respectively, are on top. A survey in one statistics class yielded the following table:

If a student is selected randomly, find the following probabilities: (a) $P\left(A_1\cap B_1\right)$, (b) $P\left(A_1\cup B_1\right)$, (c) $P\left(A_1|B_1\right)$, and (d) $P\left(B_2|A_2\right)$.

(e) If the students had their hands folded and you hoped to select a right-eye-dominant student, would you select a ‘right thumb on top” or a “left thumb on top” student? Why?