Question

A card game is played in which the player wins if a face card is drawn​ (king, queen,​ jack) from a deck of 52 cards. If the player plays 10​ times, what is the expected number of wins for the​ player? Round your answer to two decimal places.

Answer 1

Answer:

The expected number of wins for the​ player is 2.31

Step-by-step explanation:

No. of face cards = 12

total cards = 52

Probability of getting face card = $\frac{\text{No. of face cards}}{\text{Total No. of cards}}$

Probability of getting face card = $\frac{12}{52}$

The player plays 10​ times

Formula : $E=np$

n = no. of trials = 10

p = probability of success= $\frac{12}{52}$

E=expected number of wins

$E=10(\frac{12}{52})$

$E=2.307$

So,  the expected number of wins for the​ player is 2.31