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Problem 1

What is the probability that a card selected at random from a standard deck of 52 cards is an ace?

Problem 1

What is the expected number of heads that come up when a fair coin is flipped five times?

Problem 2

Find the probability of each outcome when a loaded die is rolled, if a 3 is twice as likely to appear as each of the other five numbers on the die.

Problem 2

What is the expected number of heads that come up when a fair coin is flipped 10 times?

Problem 3

What is the probability that a randomly selected integer chosen from the first 100 positive integers is odd?

Problem 3

What is the expected number of times a 6 appears when a fair die is rolled 10 times?

Problem 3

Find the probability of each outcome when a biased die is rolled, if rolling a 2 or rolling a 4 is three times as likely as rolling each of the other four numbers on the die and it is equally likely to roll a 2 or a 4.

Problem 4

What is the probability that a randomly selected integer chosen from the first 100 positive integers is odd?

Problem 4

A coin is biased so that the probability a head comes up when it is flipped is 0.6. What is the expected number of heads that come up when it is flipped 10 times?

Problem 5

A pair of dice is loaded. The probability that a 4 appears on the first die is \(2 / 7,\) and the probability that a 3 appears on the second die is \(2 / 7 .\) Other outcomes for each die appear with probability \(1 / 7 .\) What is the probability of 7 appearing as the sum of the numbers when the two dice are rolled?

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