# Math MDM4U

posted by .

Event A represents the act of drawing a rank of eight from a standard deck of 52 cards, if B represents the event of drawing any diamond after the first card has been replaced into the deck, what is the probability of A and B.

• Math MDM4U -

By "rank of eight" I assume you mean any eight card. The probability of that happening on the first draw is 4/52.

Since tha first card drawn is then replaced in the deck, the probability of drawing a diamond in the next draw is 13/52, and you just multiply the two probabilities.

The answer would therefore be (4/52)*(13/52) = 1/52.

## Similar Questions

1. ### Algebra 2

From a 52-card deck a card is drawn and then replaced. After the deck is shuffled, a second card is drawn. Find the probability of each event. a) both cards are clubs. PLEASE SHOW ALL WORK!
2. ### probability

consider the experiment of selecting a card from an ordinary deck of 52 playing cards and determine the probability of the stated event. A card that is not a king and not a spade is drawn. I know there are 52 cards in a deck and there …
3. ### Math

What ratio represents the probability of drawing a red card from a standard deck of 52 cards?
4. ### Math

What ratio represents the probability of drawing a red card from a standard deck of 52 cards?
5. ### 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
6. ### math

A card is drawn from an ordinary deck of 52 cards, and the result is recorded on paper. The card is then returned to the deck and another card is drawn and recorded. Find the probability that the following occurs: a) the first card …
7. ### Math

A standard deck of cards contains 52 cards. Of these cards there are 13 of each type of suit (hearts, spades, clubs, diamonds) and 4 of each type of rank (A – K). Two cards are drawn from the deck and replaced each time back into …
8. ### statistic

For each of the following, assume you are working with a standard deck of 52 cards. There are 13 cards (2,3,4,5,6,7,8,9,10, jack, queen, king and Ace) in each of four suits (Clubs, Diamonds, Hearts, and Spades). a. What is P(Club) …
9. ### stat

Drawing a spade form a regular deck of playing cards and then drawing another spade from the same deck without replacing the first card is this a independent event?
10. ### math

A standard deck of playing cards had 52 cards. These cards are divided into four 13 card suits: diamonds, hearts, clubs, and spades. Find the probability of drawing a heart or a club at random from a deck of shuffled cards.

More Similar Questions