3. (22%) poker probability. consider the reduced deck of 44 cards where all 4 cards of number 5 (i. e. 5 of spades, 5 of hearts, 5 of clubs, and 5 of diamonds) are removed and all 4 cards of number 10 are also removed. (a) (11%) compute the probabilities of straight for such a deck of 44 cards. explain the numbers in the formula. (b) (11%) compute the probabilities of full house for such a deck of 44 cards. explain the numbers. 4. (20%) fair coin problem (a) compute the probability of throwing a fair coin 6 times with exactly 3 heads. (b) compute the probability of throwing a fair coin 6 times with at least 3 heads. (c) compute the probability of throwing a fair coin 6 times with at most 3 tails. (d) compute the probability of throwing a fair coin 6 times with exactly 3 tails