91影视

In Exercises 5鈥�36, express all probabilities as fractions.

Blackjack In the game of blackjack played with one deck, a player is initially dealt 2 different cards from the 52 different cards in the deck. A winning 鈥渂lackjack鈥� hand is won by getting 1 of the 4 aces and 1 of 16 other cards worth 10 points. The two cards can be in any order. Find the probability of being dealt a blackjack hand. What approximate percentage of hands are winning blackjack hands?

Exclusive Or The exclusive or means either one or the other events occurs, but not both.

a. For the formal addition rule, rewrite the formula for P(A or B) assuming that the addition rule uses the exclusive or instead of the inclusive or.

b. Repeat Exercise 11 鈥淔ast Food Drive-Thru Accuracy鈥� using the exclusive or instead of the inclusive or.

In Exercises 5鈥�36, express all probabilities as fractions.

Counting with Fingers How many different ways can you touch two or more fingers to each other on one hand?

Probability from a Sample Space. In Exercises 33鈥�36, use the given sample space or construct the required sample space to find the indicated probability.

Three Children Using the same sample space and assumption from Exercise 33, find the probability that when a couple has three children, there are exactly two girls.

Complements and the Addition Rule Refer to the table used for Exercises 9鈥�20. Assume that one order is randomly selected. Let A represent the event of getting an order from McDonald鈥檚 and let B represent the event of getting an order from Burger King. Find $P\left(\stackrel{炉}{AorB}\right)$, find $P\left(\stackrel{炉}{A}or\stackrel{炉}{B}\right)$, and then compare the results. In general, does $P\left(\stackrel{炉}{AorB}\right)$= $P\left(\stackrel{炉}{A}or\stackrel{炉}{B}\right)$?

Probability from a Sample Space. In Exercises 33鈥�36, use the given sample space or construct the required sample space to find the indicated probability.

Four Children Exercise 33 lists the sample space for a couple having three children. After identifying the sample space for a couple having four children, find the probability of getting three girls and one boy (in any order).

In Exercises 5鈥�36, express all probabilities as fractions.

Change for a Quarter How many different ways can you make change for a quarter? (Different arrangements of the same coins are not counted separately.)

Probability from a Sample Space. In Exercises 33鈥�36, use the given sample space or construct the required sample space to find the indicated probability.

Four Children Using the same sample space and assumption from Exercise 35, find the probability that when a couple has four children, all four are of the same gender.

In Exercises 5鈥�36, express all probabilities as fractions.

Win \(1 Billion Quicken Loans offered a prize of \)1 billion to anyone who could correctly predict the winner of the NCAA basketball tournament. After the 鈥減lay-in鈥� games, there are 64 teams in the tournament.

a. How many games are required to get 1 championship team from the field of 64 teams?

b. If you make random guesses for each game of the tournament, find the probability of picking the winner in every game.

Using Probability to Form Conclusions. In Exercises 37鈥�40, use the given probability value todeterminewhether the sample results could easily occur by chance, then form a conclusion.

Predicting Gender A study addressed the issue of whether pregnant women can correctly predict the gender of their baby. Among 104 pregnant women, 57 correctly predicted the gender of their baby (based on data from 鈥淎re Women Carrying 鈥楤asketballs鈥�. . . ,鈥� by Perry, DiPietro, Constigan, Birth, Vol. 26, No. 3). If pregnant women have no such ability, there is a 0.327 probability of getting such sample results by chance. What do you conclude?