Questions from College Mathematics

Q: A fair die is rolled 5 times. (A) What

A fair die is rolled 5 times. (A) What is the probability of getting a 6 on the 5th roll, given that a 6 turned up on the preceding 4 rolls? (B) What is the probability that the same number turns up...

Q: Repeat Problem 45 with the following events: E = pointer lands

Repeat Problem 45 with the following events: E = pointer lands on an odd number F = pointer lands on a prime number Compute the indicated probabilities in Problems 47 and 48 by referring to the follow...

Q: Compute the indicated probabilities in Problems 47 and 48 by referring to

Compute the indicated probabilities in Problems 47 and 48 by referring to the following probability tree:

Q: For each pair of events (see Problem 49), discuss whether

For each pair of events (see Problem 49), discuss whether they are independent and whether they are mutually exclusive. (A) E1 and E3 (B) E3 and E4 Data from problem 49: For each pair of events, di...

Q: In 2 throws of a fair die, what is the probability

In 2 throws of a fair die, what is the probability that you will get at least 5 on each throw? At least 5 on the first or second throw?

Q: Two cards are drawn in succession from a standard 52-card

Two cards are drawn in succession from a standard 52-card deck. What is the probability that both cards are red (A) If the cards are drawn without replacement? (B) If the cards are drawn with replac...

Q: A card is drawn at random from a standard 52-card

A card is drawn at random from a standard 52-card deck. Events M and N are M = the drawn card is a diamond. N = the drawn card is even 1face cards are not valued2. (A) Find P(N| M). (B) Test M an...

Q: that at least 2 heads turn up, and let B be

that at least 2 heads turn up, and let B be the event that all the coins turn up the same. Test A and B for independence if (A) 2 coins are tossed. (B) 3 coins are tossed.

Q: Refer to the Venn diagram below for events A and B

Refer to the Venn diagram below for events A and B in an equally likely sample space S. Find each of the indicated probabilities.

Q: Refer to the following experiment: 2 balls are drawn in succession

Refer to the following experiment: 2 balls are drawn in succession out of a box containing 2 red and 5 white balls. Let Ri be the event that the ith ball is red, and let Wi be the event that the ith b...