Question

To calculate the probabilities of obtaining 3 aces in 8 draws a card with replacement from an ordinary deck (52 card), we would use the:

a) multinomial distribution

b) hypergeometric distribution

c) Poisson distribution

d) binomial distribution

Answer 1

Solution: Optio ( B ) = Binomial probability distribution

Given,

number of cards in the deck = 52

number of aces in a deck = 4

probability of picking an ace = p = 4 / 52 = 0.0769

number of draws = n = 8

here ,

(i)the each draw has two outcomes that are either success or failure

(ii) each outcome has a probability of success or failure

(iii)scince the cards are replaced, the probability of picking an ace is independant in each pick

these three qualities of the prove that the avobe distribution is a Binomial probability distribution