math

A pair of dice is rolled 3 times. What is the probability that a sum of 7 on the 2 dice will occur at least once? (Round your answer to three decimal places.)

.421

Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (Enter your probability as a fraction.)

0

Use the data given in the table below to compute the probability that a randomly chosen voter from the survey will satisfy the following. Round to the nearest hundredth. The voter is between 39 and 49 and is registered as a Republican.

0.08

Use the data given in the table below to compute the probability that a randomly chosen voter from the survey will satisfy the following. Round to the nearest hundredth. The voter is an Independent.

0.15

If P(A) = 0.2, P(B) = 0.2, and P(A and B) = 0.1, find P(A or B).

0.3

If P(A) = 0.5, P(B) = 0.6, and P(A or B) = 0.8, find P(A and B).P(A and B)

0.3

Use the data given in the table below to compute the probability that a randomly chosen voter from the survey will satisfy the following. Round to the nearest hundredth. The voter is under 39 years old.

0.51

Suppose the probability that it will rain tomorrow is 0.35. What is the probability that it will not rain tomorrow?

0.65

Evaluate the expression. P(6, 0)

1

Use the following experiment. A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)Count the number of ways in which four 4's can be chosen.

1

If two dice are rolled, compute the probability of rolling doubles (both dice show the same number of pips). (Enter the probability as a fraction.)

1/6

Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the two dice is the following. (Enter your probability as a fraction.) At most 4

1/6

Use the formula for the probability of the complement of an event.A single card is drawn from a deck. What is the probability of not drawing a 3?

12/13

A card is selected at random from a standard deck of playing cards.Compute the probability that the card is a face card (jack, queen, or king). (Enter your probability as a fraction.)

12/52

A coin is tossed 4 times. What are the odds against the coin showing heads all 4 times?

15 to 1

Use the formula for the probability of the complement of an event.A coin is flipped 4 times. What is the probability of getting at least 1 head? (Enter your probability as a fraction.)

15/16

Use the counting principle to determine the number of elements in the sample space. A coin is tossed 4 times.

16

Use the counting principle to determine the number of elements in the sample space. Two digits are selected with replacement from the digits 1, 2, 3, and 4.

16

You choose one spade, one club, one heart, and one diamond from a standard deck of playing cards.Count the number of elements in the event that each card has a different face value.

17160

Evaluate the expression. C(9, 6) · C(7, 2)

1764

Fill in the blanks to show how to evaluate P(18, 5) using the counting principle.

18 · 17 · 16 · 15 · 14

A survey asked 850 respondents about their highest levels of completed education. The results are given in the table below.If a respondent from the survey is selected at random, compute the probability that the respondent has a Bachelor's degree. (Enter the probability as a fraction.)

187/850

Fill in the blanks to show how to evaluate C(19, 5) using the formula for C(n, k).

19

Two dice are rolled. Determine the probability of the following. Rolling an even number or a number greater than 8

2/3

Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number.) rolling a 4 or doubles

2/9

A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)Count the number of elements in the event that an ace, a king, a queen, and a jack are chosen.

24

Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Each box receives exactly one card.In how many ways can the cards be placed in the boxes?

24

Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a true-false examination consisting of 20 questions.

2_{ }^{20}

A single card is drawn from a standard deck. Find the probability of the following event. Drawing a queen or a face card

3/13

The height of a certain plant is determined by a dominant allele T corresponding to tall plants, and a recessive allele t corresponding to short (or dwarf) plants. If both parent plants have genotype Tt, compute the probability that the offspring plants will be tall. Hint: Draw a Punnett square. (Enter your probability as a fraction.)3/4

3/4

Use the counting principle to determine the number of elements in the sample space. Two digits are selected without replacement from the digits 1, 2, 3, 4, 5, and 6.

30

Evaluate the expression. P(8, 2) · P(5, 3)

3360

A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once.Find the probability that the number on the upward face is divisible by 3. (Enter the probability as a fraction.)

4/12

A card is selected at random from a standard deck of playing cards.Compute the probability that the card is a 3. (Enter the probability as a fraction.)

4/52

Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.How many two-digit odd numbers are possible?

45

This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.How many hands contain 4 jacks?

48

Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-choice quiz consisting of 5 questions, with each question having four possible answers (a, b, c, or d).

4^5

Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (Enter your probability as a fraction. At least 8

5/12

Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.)

5/36

If a person draws three cards from a standard deck (without replacing them), what is the probability that at least one of the cards is a face card? (Round your answer to one decimal place.)

55.3

Evaluate the expression. C(8, 3)

56

Evaluate the expression. (6 − 3)!

6

A magician shuffles a standard deck of playing cards and allows an audience member to pull out a card, look at it, and replace it in the deck. Three additional people do the same. Find the probability that of the 4 cards drawn, at least 1 is a face card. (Round your answer to one decimal place.)

65

This exercise refers to a standard deck of playing cards. Assume that 8 cards are randomly chosen from the deck.How many hands contain exactly 3 aces?

6849216

The odds in favor of an event are given. Compute the probability of the event. (Enter the probability as a fraction.) 8 to 9

8/17

Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Each box receives exactly one card.Count the number of elements in the event that no box contains a card with the same letter as the box.

9

List the elements of the sample space defined by the experiment. (Enter your answers as a comma-separated list.) Select an even single-digit whole number.

{0,2,4,6,8}