# Statistics

posted by .

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.

• Statistics -

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.

• Statistics -

8/663

## Similar Questions

1. ### Statistics

Two cards are drawn in succession from a standard deck of 52 cards without replacing the first one before the second. a) Are these outcomes are independent?
2. ### Statistics

You draw two cards from a standard deck of 52 cards and replace the first one before drawing the second. Find the probability of drawing a 4 for the first card and a 9 for the second card. Round your answer to the nearest thousandth. …
3. ### Statistics

You draw two cards from a standard deck of 52 cards and replace the first one before drawing the second. Find the probability of drawing a 4 for the first card and a 9 for the second card. Round your answer to the nearest thousandth. …
4. ### 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.
5. ### statistics

Anne, Joe and Lynn, in this order, will take turns to draw two cards from a standard deck of 52 cards. Note that each draw of 2 cards is w/o replacement but draws of different turns are with replacement (the preceding two cards will …
6. ### 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 queen …
7. ### Math

Two cards. Refers to choosing two cards. If you do not put the first card back in the deck before you draw the next, what is the probability that the first card is a club and the second card is a diamond?
8. ### Math

There is a deck of 12 cards numbered 1 through 12. One card is drawn at random from the deck, look at it and then put it back in the deck. A total of two cards are drawn in this way. Define the following events: • A : get an even …
9. ### 8th gr algebra

There are 52 cards in a standard deck. if you draw a card, do not replace it, and then draw 4 more cards, one at a time without replacement, how many possible outcomes are there?
10. ### Statistics

Select three different five card combinations or five-card hands from your favorite card game that utilizes a standard 52-card deck containing four suits (clubs, hearts, diamonds, and spades), with each suit containing 13 cards with …

More Similar Questions