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Chapter 5: Q. 23 (page 312)

You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is approximately 0.11. This means that

a. in every 100bridge deals, each player has 1ace exactly 11times.

b. in 1million bridge deals, the number of deals on which each player has 1ace will be exactly 110,000.

c. in a very large number of bridge deals, the percent of deals on which each player has 1ace will be very close to 11%.

d. in a very large number of bridge deals, the average number of aces in a hand will be very close to 0.11.

e. If each player gets an ace in only 2of the first 50deals, then each player should get an ace in more than 11%of the next 50deals.

Short Answer

Expert verified

The correct option is (c) i.e. the percent of deals on which each player has one ace in a large number of bridge deals will be very close to11%.

Step by step solution

01

Given information

We need to find the correct meaning for the given statement i.e. "probability of four players is dealt exactly one ace is approx. 0.11in a book about bridge".

02

Explanation for option (a) 

We know that,

Having one ace 10or 12times is likewise quite likely to happen.

Therefore,

Option (a) is false.

03

Explanation for option (b) 

We know that,

It is feasible to get109,000 deals with just one ace.

Therefore,

Option (b) is false.

04

Explanation for option (c)

We know that,

For very large samples, the probability is always close to the corresponding percent.

Therefore,

Option (c) is true.

05

Explanation for option (d)

We know that

The proportion is about 0.11, not the average of aces.

Therefore,

Option (d) is false.

06

Explanation for option (e)

We know that,

Option (c) has the correct required statement.

Therefore,

Option (e) is false.

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