Selecting Cards The red face cards and the black cards numbered 29 are put into a bag

Chapter 4, Problem 10

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QUESTION:

Selecting Cards The red face cards and the black cards numbered 2–9 are put into a bag. Four cards are drawn at random without replacement. Find the following probabilities:

a. All 4 cards are red.

b. 2 cards are red and 2 cards are black.

c. At least 1 of the cards is red.

d. All 4 cards are black.

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QUESTION:

Selecting Cards The red face cards and the black cards numbered 2–9 are put into a bag. Four cards are drawn at random without replacement. Find the following probabilities:

a. All 4 cards are red.

b. 2 cards are red and 2 cards are black.

c. At least 1 of the cards is red.

d. All 4 cards are black.

ANSWER:

Step 1 of 8

Experiment: From 11 different cards (red face cards - J, Q, K and black 2-9 cards), four are selected at random.

Events:

A - all the selected cards are red

B - exactly two of the selected cards are red

C - at least one of the selected cards is red

D - all four cards are black

Compute the probability of A, B, C, and D

The probabilities will be found using the formula for classical probability, the combination rule, and the fundamental counting rule

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