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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?

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 ...

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