what is the expected value of the following acetwo jack or f

(b) If a four card hand is drawn at random from a standard deck of cards, what is the expected value of the folowing (ace, two, jack or five)?

Solution

sol)

Expected value for Ace

Let x be the random variable takes value 0,1

X 0 1

P(x) 48/52 4 / 52

Expected value for Ace= 0*48/52 + 1 * 4 / 52 =4/52

b) Expected value for two

Let x be the random variable takes value 0,1

X 0 1

P(x) 48/52 4 / 52

Expected value for Ace= 0*48/52 + 1 * 4 / 52 =4/52

C)

Expected value for jack or five

Let x be the random variable takes value 0,1

X 0 1

P(x) 44/52 8 / 52

Expected value for Ace= 0*44/52 + 1 * 8 / 52 =8/52