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Hassan keeps picking playing cards out of a standard deck of 52 cards, hoping that he will draw a queen. There are four queens in the deck. After looking at each card, he places it back in the deck. What is the probability that Hassan will draw a Queen in the first seven attempts?

A.) 43%
B.) 46%
C.) 57%
D.) 68%

Respuesta :

Answer:43%

Step-by-step explanation:

just finished test

Answer:

C.) 57%

Step-by-step explanation:

The events describe is about picking a card, and placing it back into the deck. This means that the total number of event won't change in each trial.

We know that there are 4 queens of 52 cards. So, the probability of picking a card and be a queen is

[tex]P=\frac{4}{52}=\frac{1}{13}[/tex]

However, in this case, we have to apply the experimental probability definition, because we have several attempts. This experimental probability is defined as the ratio between the time the event occurs (4) and the total number of trials (7). That is

[tex]P_{exp}=\frac{4}{7}=0.57 \ (or \ 57\%)[/tex]

Therefore, the right answer is C.

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