wo fair coins are tossed. Find the probability that they both come up heads. b) Two fair six-sided dice are rolled. Find the probability that their sum is less than 5. c) Find the probability that a fair coin tossed 6 times comes up heads exactly once.
Calculate the following probabilities:
a) Two fair coins are tossed. Find the probability that they both come up heads.
b) Two fair six-sided dice are rolled. Find the probability that their sum is less than
5.
c) Find the probability that a fair coin tossed 6 times comes up heads exactly once.
d) Find the probability that a 5 card poker hand contains a straight flush (five cards
in numerical order and of the same suit). Note: aces can be high or low, but not both at the
same time, i.e., A, 2, 3, 4, 5 and 10, J, Q, K, A are both valid straights but Q, K, A, 2, 3 is not.
e) A vase contains 12 black marbles, 5 blue marbles, and 8 red marbles. You pick 3
marbles at random, one at a time, without replacement. Find the probability that you pick 1
blue, 1 red, and 1 black marble in that order.
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