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A card is drawn from a standard deck of cards. Determine whether the events are mutually exclusive or inclusive. Then, find the probability.

P(a red card or a queen)

a.
inclusive, 15/26
c.
inclusive, 7/13
b.
mutually exclusive, 15/26
d.
mutually exclusive, 7/13

Respuesta :

The correct answer is C) inclusive, 7/13.

The two events are inclusive because they can both happen at the same time.

This means we find the probability using 
P(A or B) = P(A) + P(B) - P(A and B)

P(r or Q) = P(r) + P(Q) - P(r and Q)

There are 26 red cards out of 52 cards.
There are 4 queens out of 52 cards.
There are 2 red queens out of 52.

26/52+4/52-2/52 = 28/52 = 7/13
MrEquation
The correct answer is Choice C.

These events are inclusive because they can both happen at the same time.

There are 26 cards that are reds. Then, there are 2 additional queens.

That makes the probability 28/52 or 7/13.

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