Question

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 $100$bridge deals, each player has $1$ace exactly $11$times.

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

c. in a very large number of bridge deals, the percent of deals on which each player has $1$ace 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 $2$of the first $50$deals, then each player should get an ace in more than $11\%$of the next $50$deals.

Short answer

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 to$11\%$.

Step-by-step solution

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. $0.11$in a book about bridge".

Explanation for option (a) 

We know that,

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

Therefore,

Option (a) is false.

Explanation for option (b) 

We know that,

It is feasible to get$109,000$ deals with just one ace.

Therefore,

Option (b) is false.

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.

Explanation for option (d)

We know that

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

Therefore,

Option (d) is false.

Explanation for option (e)

We know that,

Option (c) has the correct required statement.

Therefore,

Option (e) is false.