Ch. 2 HW

Four cards from a standard deck of playing cards are randomly dealt to you. Find the probability that you are dealt exactly 3 aces.

0.000709

Suppose you are dealt two cards at random from a standard deck of cards without replacing the first one before you are dealt the second one. Find the probability that you get a "10" (ten) and a "J" (jack), dealt in either order.

0.0121

Dave has several golf balls in his golf bag. Seven of them are brand A, 9 are brand B, and 2 are brand C. He reaches into the bag and randomly selects one golf ball, then he selects a second one without replacing the first one. What is the probability that the first one is a brand A golf ball and the second one is a brand C golf ball?

0.0458

If a pair of 6-sided dice is tossed, what is the probability that both dice will show a number that is a multiple of 3 (i.e. 3 or 6)? (Hint: There are 2 multiples of 3 on each die. Determine the number of possible outcomes that show a multiple of 3 on each die.)

0.111

Refer to the contingency table in Section 2.2 Exercises 9-22 of the text. Find the probability that a randomly selected employee is a light smoker.

0.131

Assign a probability to the following event, and give the method used to assign it: What is the probability that a randomly selected day of the week will be a Friday?

0.143, classical

If events A and B are mutually exclusive, P(A or B) = 0.5, and P(B) = 0.3; then what is P(A)?

0.2

On a particular game show, there are 8 covered buckets and 2 of them contain a ball. To win the game, a contestant must select both buckets that contain a ball. Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

0.214

Refer to the contingency table in Section 2.2 Exercises 9-22 of the text. If a randomly selected employee is in general labor, then find the probability that he/she is a medium smoker.

0.337

Refer to the contingency table in Section 2.2 Exercises 9-22 of the text. If one employee from each of the four smoking categories is randomly selected, what is the probability that at least one of them has a managerial job?

0.342

Refer to the probability distribution in Section 2.1 Exercise 10. Find the value of the missing probability.

0.35

Refer to the contingency table in Section 2.2 Exercises 9-22 of the text. If 4 employees are randomly selected, what is the probability that at least one of them has a managerial job?

0.364

A golfer's bag contains 24 golf balls, 18 of which are ProFlight brand and the other 6 are DistMax brand. Find the probability that he reaches in his bag and randomly selects 5 golf balls and 4 of them are ProFlights and the other 1 is DistMax.

0.432

The letters A, B, C, D, E, and F are written on six different ping pong balls and put into a bag. The letters H, I, J, and K are written on another four different ping pong balls and put into a second bag. Then the letters O, P, Q, R, S, T, and U are written on another seven different ping pong balls and put into a third bag. If one ping pong ball is randomly selected from each of the three bags, what is the probability that at least one vowel (A, E, I, O, U) is selected?

0.643

If a pair of fair six-sided dice are tossed, what is the probability that the sum is even OR greater than 7?

0.667

Refer to the contingency table in Section 2.2 Exercises 9-22 of the text. Find the probability that a randomly selected employee has a skilled trades job or is a heavy smoker.

0.667

The probability that a freshman at a certain college takes an introductory statistics class is 0.21. What is the probability that a randomly selected freshman from this college does not take an introductory statistics class?

0.79

If you are dealt 5 cards at random from a standard deck of playing cards, what is the probability that at most 4 of them are spades?

0.9995

Suppose a game uses a spinner that has four possible outcomes: 1, 2, 3, and 4. What outcomes make up the complementary event of getting "2 or greater" on this spinner?

1

Find the number of possible outcomes if a fair 6-sided die is tossed 4 times in a row and the result (1, 2, 3, ..., 6) of each toss is recorded.

1296

Seventy-five (75) customers at Crummy Burger today were entered in a drawing. Three names will be drawn, and each will win a prize. Determine the number of ways that the prizes can be distributed if first prize is a $25 gift card, second prize is a free Crummy Combo Meal, and third prize is a free Jumbo Crummy Burger.

405,150

Find the number of possible outcomes if the numbers 1 through 7 are written on different pieces of paper and placed in a hat. Two of these numbered pieces of paper are selected without replacement, and a 2-digit number is formed using the first number drawn in the tens place and the second number drawn used in the ones place.

42

Seventy-five (75) customers at Crummy Burger today were entered in a drawing. Three names will be drawn, and each will win a prize. Determine the number of ways that the prizes can be distributed if all 3 prizes are a $10 gift card.

67,525