Question
Three cards are drawn successively with replacement from a well-shuffled deck of 52 cards. A random variable X denotes the number of spades in three cards. Determine the probability distribution of X.
Solution
Here X takes the values 0, 1, 2, 3.
Let p denote the probability of getting spade.
Now,
P(X = 0) =
P(X = 1) =
P(X = 2) =
P(X = 3) =
∴ probability distribution is
Let p denote the probability of getting spade.
Now,
P(X = 0) =
P(X = 1) =
P(X = 2) =
P(X = 3) =
∴ probability distribution is
