Chapter 5: Q T5.10. (page 337)

A deck of playing cards has $52$ cards, of which $12$ are face cards. If you shuffle the deck well and turn over the top $3$ cards, one after the other, what’s the probability that all 3 are face cards? $(a) 0.001 (b) 0.005 (c) 0.010 (d) 0.012 (e) 0.02$

Short Answer

Expert verified

The correct option is $(c) 0.010$

Step by step solution

Step 1. Given

The number of face cards in the deck is $12$

A deck of $52$ cards has $52$ cards in it.

Step 2. Concept

Total number of cards in a deck is $52$

Step 3. Calculation

The likelihood of all three cards being face cards is computed as follows:

$P (3 f a c e c a r d s) = \frac{12}{52} \times \frac{11}{51} \times \frac{10}{50} = \frac{1320}{132600} = 0.010$

As a result, $0.010$ is the required probability.

As a result, the correct option is (c).

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A deck of playing cards has $52$ cards, of which $12$ are face cards. If you shuffle the deck well and turn over the top $3$ cards, one after the other, what’s the probability that all 3 are face cards? $(a) 0.001 (b) 0.005 (c) 0.010 (d) 0.012 (e) 0.02$

Short Answer

Step by step solution

Step 1. Given

Step 2. Concept

Step 3. Calculation

One App. One Place for Learning.

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A deck of playing cards has 52 cards, of which 12 are face cards. If you shuffle the deck well and turn over the top 3 cards, one after the other, what’s the probability that all 3 are face cards?(a)0.001(b)0.005(c)0.010(d)0.012(e)0.02

Short Answer

Step by step solution

Step 1. Given

Step 2. Concept

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Geometry

Applied Mathematics

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

A deck of playing cards has $52$ cards, of which $12$ are face cards. If you shuffle the deck well and turn over the top $3$ cards, one after the other, what’s the probability that all 3 are face cards? $(a) 0.001 (b) 0.005 (c) 0.010 (d) 0.012 (e) 0.02$