15 cards are selected out of a 52 card deck such that after each card is selected, it is placed back into the deck and the deck is reshuffled. Then the total number of hearts selected follows a binomial distribution.
a) true
b) false

Since cards are returned to the deck after each pick, all of the 15 events are independent and have the same likelihood of occurring. Therefore, this experiment follows a binomial distribution with the following properties:

Number of events (n) = 15

Probability of success (Picking a heart) = 13/52 = 1/4

Probability of failure (Not picking a heart) = 39/52 = 3/4

In conclusion, the statement provided is true.

15 cards are selected out of a 52 card deck such that after each card is selected, it is placed back into the deck and the deck is reshuffled. Then the total number of hearts selected follows a binomial distribution. a) true b) false

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15 cards are selected out of a 52 card deck such that after each card is selected, it is placed back into the deck and the deck is reshuffled. Then the total number of hearts selected follows a binomial distribution.
a) true
b) false