Question

In: Math

2.51 Cards are drawn from a standard 52-card deck until an ace is drawn. After each...

2.51 Cards are drawn from a standard 52-card deck until an ace is drawn. After each card is drawn, it is put back in the deck and the cards are reshuffled so that each card drawn is independent of all others.

(a) Find the probability that the first ace is drawn on the 5th selection.

(b) Find the probability that at least 5 cards are drawn before the first ace appears.

(c) Repeat parts (a) and (b) if the cards are drawn without replacement. That is, after each card is drawn, the card is set aside and not replaced in the deck.

Solutions

Expert Solution


Related Solutions

A card is drawn from a standard deck of 52 cards and then placed back into...
A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a four is drawn at least once by the third draw. Round your answer to two decimal places.
A hand of five cards is drawn from a standard 52 card deck. (a) What is...
A hand of five cards is drawn from a standard 52 card deck. (a) What is the probability of getting only one pair? (b) What is the probability of getting all cards with the same suit?
Two cards are drawn one after the other from a standard deck of 52 cards. (a)...
Two cards are drawn one after the other from a standard deck of 52 cards. (a) In how many ways can one draw first a spade and then a heart? (b) In how many ways can one draw first a spade and then a heart or a diamond? (c) In how many ways can one draw first a spade and then another spade? (d) Do the previous answers change if the first card is put back in the deck before...
From a deck of 52 cards a card is drawn, what is the probability that the...
From a deck of 52 cards a card is drawn, what is the probability that the card is a King or a Red card
Assume three cards are drawn from a standard 52-card deck without replacement. Answer each of the...
Assume three cards are drawn from a standard 52-card deck without replacement. Answer each of the following questions a) What is the probability that the third card will be the two of clubs? b) Are your odds better for choosing the two of clubs on your first, second, or third draw? c) How can you use this example to illustrate the difference between independent and dependent events? d) How do the marginal, joint, and conditional probabilities change if we instead...
1) A card is drawn randomly from a standard deck of 52 cards. Find the probability...
1) A card is drawn randomly from a standard deck of 52 cards. Find the probability of the given event. a red 9 2) Assume that all elementary events in the same sample space are equally likely. A pair of fair dice are tossed. What is the probability of obtaining a sum of 11? 10? 7? probability of obtaining a sum of 11 probability of obtaining a sum of 10 probability of obtaining a sum of 7
A card is drawn at random from a deck of 52 cards. Find the probability that...
A card is drawn at random from a deck of 52 cards. Find the probability that the card is a seven or a spade. A bag contains 7 green marbles, 5 blue marbles, and 3 yellow marbles. If a marble is randomly picked from the bag, find the probability that it is not blue. Ten balls labeled with the numbers 1, 2, ..., 10 are in a bin. What is the probability that the numbers 8, 7, and 2 are...
a single card is drawn from a deck of 52 cards. find the probability that the...
a single card is drawn from a deck of 52 cards. find the probability that the card chosen is as follows. the queen of spades or a black card.
Four cards are drawn at random from a standard deck of 52 cards. a. What’s the...
Four cards are drawn at random from a standard deck of 52 cards. a. What’s the probability that at least one card is a 7? b. What’s the probability that 3 of the 4 cards are the same suit? c. What’s the probability that they are all the same suit?
Two cards are drawn at random from a standard deck of 52 cards. The number of...
Two cards are drawn at random from a standard deck of 52 cards. The number of aces drawn is counted. Prepare a probability distribution for this random experiment. Hint: Find the probability that no aces are drawn, exactly one ace is drawn, etc.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT