# Binomial Distribution

1.If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are queens.

2. A fair coin is tossed 8 times in succession. Find the probability of getting at least 4 heads.

3. A die is rolled twice. Find the probability of getting two numbers whose sum exceeds 5.

4.How many different five-letters passwords can be formed from the letters A,B,C,D,E,F,G,H,I,J,K if no repitition is allowed? And if repitition of letters is allowed?

https://brainmass.com/statistics/probability/binomial-distribution-21733

#### Solution Preview

1.If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are queens.

Sol: There are 4 queens in a deck of 52 cards.

Probability that a card pulled out is a queen: p = 4/52 = 1/13.

Number of trials = 3

Therefore, the probability that each of the three cards is a queen = p*p*p

= 0.000455

2. A fair coin is tossed 8 times in succession. Find the probability of getting at least 4 heads.

Sol: Probability that a head is got = p = 0.5

Probability that a tail is ...