From a well-shuffled deck of 52 cards, three are chosen with replacement. Find the probabili b) t...

Question

Question

Answer 1

Answer #1

(i)

Since the experiment is with replacement, the trials are independent and the probability of Jack is the same = p= 4/52 = 1/13 in each trial.

Thus,

P(All 3 Jack) = (1/13)³= 0.0769³ =0.0004552

So,

Answer is:

0.0004552

(ii)

Since the experiment is with replacement, the trials are independent and the probability of Red is the same = p= 13/52 = 1/4 in each trial.

Thus,

P(All 3 Red) = (13/52)³= (1/4)³ = 0.25³ =0.015625

So,

Answer is:

0.015625

Add a comment

Answer 2

Similar Homework Help Questions

If seven cards are chosen from a well-shuffled deck of 52 playing cards. In how many...

If seven cards are chosen from a well-shuffled deck of 52 playing cards. In how many selections do 2 diamonds occur? a. 2,613,754 b. 5,987,210 c. 44,909,046 d. 67,406,072 e. 28,512,713 Please also show how you set it up. Thanks.
3. Three cards are dealt without replacement, from a well shuffled deck. In answering the following,...

3. Three cards are dealt without replacement, from a well shuffled deck. In answering the following, round your answer to the nearest hundredth of a percent. (a) Find the chance that all of the cards are aces. (b) Find the chance that none of the cards are aces. (c) Find the chance that the cards are not all aces.
Suppose that 4 cards are drawn from a well-shuffled deck of 52 cards.

Suppose that 4 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 4 are spade?

If you are dealt 6 cards from a shuffled deck of 52 cards, find the probability...

If you are dealt 6 cards from a shuffled deck of 52 cards, find the probability of getting 3 jacks and 3 aces. Evaluate. 336 8064 40,320 6720 In how many ways can a club choose a president, a treasurer, a secretary, and three other committee members (with identical duties) from a group of 13 candidates? 1,235,520 4,826,809 1716 205,920
Suppose that 4 cards are drawn from a well-shuffled deck of 52 cards. What is the...

Suppose that 4 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 4 are not face cards?
A card is drawn at random from a well-shuffled deck of 52 cards. what is the...

A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability that the card drawn is: a) a Diamond? b) an ace o4 a red card? c) a spade or a face card?

you are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards...

you are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards find the probability that both cards are black Express your answer as a simplified
you are dealt 2 cards successively (without replacement) from a shuffled deck of 52 playing cards

you are dealt 2 cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.
A card is drawn from a well shuffled deck of 52 cards. Find the probability of drawing a face...

A card is drawn from a well shuffled deck of 52 cards. Find the probability of drawing a face card or a 4.

Suppose that 4 cards are drawn from a well-shuffled deck of 52 cards. What is the...

Suppose that 4 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 4 are black? The probability is P(E) = (Type an integer or a simplified fraction.)