Suppose that the event of picking a face card from a standard deck of 52 cards is considered a success. if a card is drawn at random and replaced, and this process is repeated 11 times, what is the probability that the card selected was a face card 6 times?
a. 0.019
b. 0.024
c. 0.004
d. 0.976
e. 0.995

0.019

Step-by-step explanation:

Number of face cars = 12

Total number of cards =52

So, Probability of getting face card =

Probability of not getting face card =

Now we are given that  a card is drawn at random and replaced, and this process is repeated 11 times so, what is the probability that the card selected was a face card 6 times

So, we will use binomial

Success is getting a face card

Failure is not getting a face card

Formula :

p  = probability of success =

q = Probability of failure =

n = no. of trials = 11

r = no. of times getting success = 6

Substitute then values in the formula

Hence If a card is drawn at random and replaced, and this process is repeated 11 times, the probability that the card selected was a face card 6 times is 0.019.

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step-by-step explanation:

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