# Statistics

you draw two cards from a standard deck of 52 cards, but before you draw the second card, you put the first one back and reshuffle the deck.

a) are the outcomes on the two cards independent? why?
b) find P(3 on 1st card and 10 on 2nd)
c) find P(10 on 1st card and 3 on 2nd)
d) find the probability of drawing a 10 and a 3 in either order.

1. 👍 0
2. 👎 0
3. 👁 1,644
1. a) Yes, because of replacement, the probabilities do not change for the second card.

b, c) probability of both events occurring is found by multiplying the probability of the individual events.

d) probability of either-or events occurring is found by adding the probability of the individual events.

1. 👍 0
2. 👎 3
2. 8/663

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits (\$\heartsuit\$ and \$\diamondsuit\$, called `hearts' and `diamonds') are red, the other two (\$\spadesuit\$ and \$\clubsuit\$,

2. ### Math

Another card game. In a new card game, you start with a well-shuffed full deck and draw 3 cards without replacement. If you draw 3 hearts, you win \$50. If you draw 3 black cards, you win \$25. For any other draws, you win nothing.

3. ### MATH Prob.

You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that both cards are black.

4. ### Math

Drawing a least one king when you draw a card from a standard deck 8 times (replacing the card each time you draw, so there are always 52 cards in the deck) P(at least one king in 8 attempts)= [P(1 king + 2 kings + 3 kings + 4

1. ### Precalculus

Four cards are randomly drawn from a standard deck of 52 cards. Find each probability. a. P(1 ace and 3 kings) b. P(2 odd and 2 face cards)

2. ### drawing

what is the probability of drawing a diamond face card on the fifth draw from a standard deck of 52 cards, knowing that the first four draws removed four kings from the deck

3. ### Stats

Directions: Suppose you have a standard deck 52 cards (4 suits: hearts, diamonds, clubs, and spades each suit has 13 cards (1/4 of the deck) and those 13 cards include one ace,and numbers 2 through 10 and 3 face cards: a jack a

4. ### statistics

Lucca keeps picking playing cards out of a standard deck of 52 cards, hoping he will draw an ace. There are four aces in the deck. After looking at each card, he places it back in the deck. What is the probability that Lucca will

1. ### math

if you draw two cards from a standard deck of 52 cards without replacement find: a. P(King first, Jack second) b. P( face card first, ace second) c. P(2 aces

2. ### finite math-random variables

Assume that a deck of cards contains 4 aces, 5 other face cards, and 13 non-face cards, and that you randomly draw 3 cards. A random variable Z is defined to be 3 times the number of aces plus 2 times the number of other face

3. ### math

Three cards are drawn at random without replacement from a standard deck of 52 playing cards. What is the probability that the second and third cards are black?

4. ### Math

A standard deck of cards is made up of four suits with 13 cards in each suit (total of 52 cards). If we randomly sample five cards from a standard poker deck, find the probability that all five cards selected are clubs.