Two cards are drawn at random from an ordinary deck of 52 playing cards. If the...

Two cards are drawn at random from an ordinary deck of 52 playing cards. If the two cards display the same suit, you win $2. If they are the same color only, you win $1. Otherwise, you lose 50 cent. Calculate

(a) the expected value of the amount you win;

(b) the variance of the amount you win;

Expert Solution

The solution to this problem is given below

orchestra answered 1 year ago

1. A card is drawn at random from an ordinary deck of 52 playing cards. Describe...

1. A card is drawn at random from an ordinary deck of 52 playing cards. Describe the sample space if consideration of suits (a) is not, (b) is, taken into account. 2. Answer for b: both a king and a club = king of club. 3. A fair die is tossed twice. Find the probability of getting a 4, 5, or 6 on the first toss and a 1, 2, 3, or 4 on the second toss. 4. Find the...

Cards are drawn one at a time without replacement from a deck of 52 ordinary playing...

Cards are drawn one at a time without replacement from a deck of 52 ordinary playing cards. (a) what is the probability that the 30th and the 40th cards are Kings? (b) Given that the 30th card is a King, what is the conditional probability that the 40th card is also a King?

three cards are drawn at random without replacement from a standard deck of 52 playing cards....

three cards are drawn at random without replacement from a standard deck of 52 playing cards. Find the probability that the second and third cards are black? I seen the question online and answer is 850/1734 but i think it is wrong

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.

1. Two cards are drawn from a well-shuffled ordinary deck of 52 cards. Find the probability...

1. Two cards are drawn from a well-shuffled ordinary deck of 52 cards. Find the probability that they are both aces if the first card is (a) replaced, (b) not replaced. 2. Find the probability of a 4 turning up at least once in two tosses of a fair die. 3. One bag contains 4 white balls and 2 black balls; another contains 3 white balls and 5 black balls. If one ball is drawn from each bag, find the...

A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards....

A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting of four cards of one suit and one card of another suit?

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?

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...

Two cards are randomly selected from a deck of 52 playing cards. (a) What is the...

Two cards are randomly selected from a deck of 52 playing cards. (a) What is the probability they constitute a pair (that is, that they are of the same denomination)? (b) What is the conditional probability they constitute a pair given that they are of different suits?

One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing...

One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following cards. a. An 8 or 2 b. A black card a 9 c. A 2 or a black 7 d. A heart or a black card e. A face card or a diamond a. What is the probability that the card is either an 8 or a 2 ? (Simplify your answer. Type an integer or a fraction.)

Question