Math Academic Team Probability

Four six-sided dice are thrown. Find the probability that all of the rolls are 5, given that all of the rolls show the same number.

• 1/216

• 1/36

• 1/6

• 1/3

A spinner is numbered from one to eight. Find the probability the spinner lands on 3, given that the spinner lands on an odd number.

• 1/8

• 1/4

• 1/3

• 1/2

A spinner is numbered from one to eight. Find the probability the spinner lands on a number greater than 5, given the spinner lands on an even number.

• 1/4

• 3/8

• 1/2

• 5/8

There are 3 blue marbles, 6 red marbles, 2 green marbles, and 1 black marble in a bag. Suppose you select one marble at random. Find P (neither blue or black).

• 1/4

• 1/3

• 1/2

• 2/3

A card is chosen at random from a deck of 52 playing cards.What is the probability or drawing a king or a queen?

• 1/13

• 2/13

• 1/169

• 2/169

In a bag there are 4 red marbles, 5 white marbles, and 6 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting a red marble and then a white marble.

• 4/45

• 4/41

• 2/21

• 2/25

A box contains four $1 bills and six $5 bills. If three bills are selected at random without replacement, find the probability that all three are $5 bills.

• 1/6

• 1/4

• 27/125

• 3/5

A six-sided die is rolled twice. What is the probability of getting two even numbers?

• 1/2

• 1/3

• 1/4

• 1/6

Which of the following events are dependent?

• tossing a coin and selecting a card from a deck

• tossing a coin, then tossing a second coin

• running a race and getting tired

• drawing a card from a deck and replacing it, then drawing a second card

The probability that a family visits the museum is 0.36, and the probability that a family rides on the ferry is 0.47. The probability that a family does both is 0.22. Find the probability that the family visits the museum or rides the ferry.

• 0.58

• 0.61

• 0.78

• 0.83