SOLUTION: 1. Suppose that two cards are drawn without replacement from a standard deck of cards. Find the probability that both cards are spades? 2. Suppose a bag contains seven times as

Algebra ->  Probability-and-statistics -> SOLUTION: 1. Suppose that two cards are drawn without replacement from a standard deck of cards. Find the probability that both cards are spades? 2. Suppose a bag contains seven times as       Log On


   

Question 444394: 1. Suppose that two cards are drawn without replacement from a standard deck of cards. Find the probability that both cards are spades?
2. Suppose a bag contains seven times as many black marbles as white marbles and a sind marble is drawn from the bag at random. What is the probability that the marble is black?
3. Suppose that ive dice are tossed. What is the probability that at least one of the dice shows a two.

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

1. probability that both cards are spades =
13C2 / 52C2

2. probability that the marble is black = 7/8


3. Is it five dice?

probability that at no dice shows a two i.e P(A) = 5/6 * 5/6 * 5/6 * 5/6 * 5/6
= 3125/7776
now, probability that at least one show a two = P'(A)= 1-P(A)
= 1- 3125/7776
= 4651/7776