Question

Determine whether the given event is mutually exclusive or inclusive. Then find the probability.

A card is drawn from a standard deck of cards.
P(queen or jack)

Answer 1

\(P(Queen)=4/52=P(Jack)\)
By the addition rule:
\(P(Queen-or-Jack)=4/52+4/52=8/52=2/13\)

Answer 2

52 cards in a deck. 4 queens and 4 jacks. Total = 8

Probability = 8/52

15 balls in total. 10 white or black

Probability = 10/15

Answer 3

mutually exclusive means:
\(P(A-or-B)=P(A)+P(B)\)
because in general,
\(P(A-or-B)=P(A)+P(B)-P(A ∩ B)\)

Answer 4

we can't have 1 card being both queen and jack at the same time, so the two events can't occur together, and are therefore mutually exclusive