Reference no: EM132846853

Five cards are dealt from a standard 52-card deck. We define a & straight &  hand as one that consists of five cards where all the five cards are consecutive (regardless of their suit). Note that the order of the cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King and that a "straight" is not cyclic (for example 9, 10, J, K, Q is a straight but J, Q, K, A, 2 is not). Find the probability of the following events: i. A straight consisting of 1 Ace, 1 two, 1 three, 1 four, 1 five. ii. A hand consisting of 1 Ace, 1 three, 1 five, 1 seven, 1 nine. iii. Any straight as defined in the problem statement. (f) [5 pts] In a jar are 5 red marbles, 10 blue marbles, and 5 green marbles. I draw three marbles from the jar (without replacement). What is the probability that at least two of these marbles are of the same color?