Question

A random experiment consists of drawing a card from an ordinary deck of 52 playing cards. Let the probability set function P assign a probability of 1 52 to each of the 52 possible outcomes. Let C1 denote the collection of the red cards (hearts and diamonds) and let C2 denote the collection of the 4 kings plus the 4 aces. Compute P(C1), P(C2), P(C1 ∩C2), and P(C1 ∪C2).

Answer 1

Ans:

P(C1)=26/52

P(C2)=8/52

P(C1 and C2)=4/52

P(C1 or C2)=P(C1)+P(C2)-P(C1 and C2)

=(26/52)+(8/52)-(4/52)

=30/52