1 compute the probability of having the sum of 10 by


1. Compute the probability of having the sum of 10 by throwing (a) two dice, (b) three dice.

2. What is the probability of three of a kind for a poker hand with (a) a card deck of 52 cards, (b) a card deck of 32 cards by removing all cards of numbers deuce (2), three, four, five, and six?

3. Bernouli trial:

a. You throw a fair coin (p(Head) = ½)) 10 times, find the probability of at least 8 heads. List the formula, and also calculate the probability with 3 significant digits after the decimal point.

b. You throw 10 fair coins once, find the probability of at least 8 tails.

c. You throw a biased coin with p (Head) = 1/3, 5 times, find the probability of at least 3 heads.

d. You transmit a file of 200 bytes with BER (bit error rate) = 10-6, compute the probability of no bit error and also the probability of at most 1 bit error to 3 significant digits.

4. Classify for each case following if the two events X and Y are independent or not.

a. You throw a coin 3 times. X = {first throw = Head}, Y = {second throw = Tail}

b. You throw a coin 4 times, X = {there are at most 2 heads}, Y = {there are at least two tails}

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Electrical Engineering: 1 compute the probability of having the sum of 10 by
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