Consider rolling a fair six-sided die 5 times, and then tossing a fair coin 5 times. Assume that all the tosses and rolls are independent. True or false: The number of tails in all the tosses plus the number of times that the die lands with an even number of spots

has a binomial distribution with n = 10 and p = 1/2

has a binomial distribution with n = 5 and p = 1/2

does not have a binomial distribution

A 5-card poker hand is dealt from a standard deck of cards with 4suits(,,,), and 13kindsfor each suit (2, 3, 4, 5, 6, 7,8 , 9, 10, Jack, Queen, King, Ace). How many distinct ways are there to deal a 5-card hand with 2 pairs?