A black die (B) and a white die (TE) are each tossed. Let 6 indicate the value of the B die, and let w indicate the value of the W die. (That is, let the number of spots coming up on a die be its numerical value for that toss). Specify the sample space completely, and then find the probabilities for the events indi¬

cated.

(a) the event b = w

(b) the event b < w

(c) the event 6 = 6 and w < 6

(d) the event [(6 = 3) U (w = 3)]

(e) the event [(6 + w> = 7)n (w — 6 = 3)]

(f) the event [(6 + w = 7)U (w — 6 = 3)]

(g) the event [(6 = 6) D (w < 6)] U [(6 7^ 1) fl (w = 1)].