SOLUTION: What are the solutions: After several rounds of a card game, a deck of playing cards contains, 10 red-suited cards and 15 black-suited cards. Terry draws cards from this deck wit

Question 588759: What are the solutions: After several rounds of a card game, a deck of playing cards contains, 10 red-suited cards and 15 black-suited cards. Terry draws cards from this deck without replacement until she has either two red cards or two black cards. To the nearest tenth of a percent, what is the probability that Terry draws two red cards?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
(10C2)/25C2=45/300=0.15 Probability that the first 2 cards are red.
(15C2)/25C2=105/300=0.35 Probability that the first 2 cards are black.
1.00-.35-.15=.50 probability one card is red and the other black after two cards are drawn.
10/25 * .50 = .20 probability one card is red and the other black after two cards are drawn AND the card drawn is red.
.15 + .20 = .35 the probability that Terry draws two red cards.
.
Ed
RELATED QUESTIONS
In a game room, there are three decks of cards: Deck 1 contains 5 red cards and 3 black... (answered by Edwin McCravy)

In a standard deck of playing cards, there are 52 total cards. Half of the cards are red (answered by Edwin McCravy)

What is the probability of drawing a red card from the deck of playing cards (answered by greenestamps)

A deck of playing cards contains 26 red and 26 black cards. Two cards are drawn from the... (answered by Nate)

There are 52 cards in a standard deck of playing cards. Half are black and half are red.... (answered by Alan3354)

A card is selected from a standard deck of 52 playing cards.? A standard deck of cards... (answered by stanbon)

Five cards are down in succession from a deck of 52 playing cards and after each card is... (answered by nerdybill)

A certain deck of cards contains 2 blue cards, 2 red cards, 2 yellow cards, and 2 green... (answered by Fombitz)