Selecting a Card A single card is drawn from a deck. Find

Chapter 4, Problem 10

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QUESTION:

Selecting a Card A single card is drawn from a deck. Find the probability of selecting the following.

a. A 4 or a diamond

b. A club or a diamond

c. A jack or a black card

Questions & Answers

QUESTION:

Selecting a Card A single card is drawn from a deck. Find the probability of selecting the following.

a. A 4 or a diamond

b. A club or a diamond

c. A jack or a black card

ANSWER:

Step 1 of 3

a)

Compute the probability that the selected card is 4 or a diamond. There are 4 fours in the deck so by (l):  four

There are 13 diamonds in the deck so by (I):  diamond

There is 1 card in the deck that is a four and a diamond so by (I):

 four and diamond

Now events that the drawn card is a four and a diamond are not mutually exclusive so for the probability of their union use formula (2):


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