Mathematics: Acard is drawn randomly from a standard 52-card deck. find the probability of the given event. (a) the card drawn is 5. the probability is: (b) the card drawn is a face card. the probability is: (c) the card drawn is not a face card. the probability is

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Acard is drawn randomly from a standard 52-card

Ответ:

collegebound3506

03.01.2022

Mathematics

a. 1 / 13b. 3 / 13c. 10 / 13

Step-by-step explanation:

There are four 5's in the deck. This means that, from 52 possible cards to drawn, we have 4 chances of drawing a 5. This means that the probability will be:

$p = \frac{4}{52}$

$p = \frac{1}{13}$

For every suit, there are three face cards, J, Q and K. There are 4 suits, so, the total number of face cards its:

4 * 3 = 12

The total possible cards are, still, 52, so, the probability will be

$p = \frac{12}{52}$

$p = \frac{3}{13}$

We know that the card drawn must be a face card, o not being a face card. There is no third choice here. So, the probability of drawing a face card OR not drawing a face car its:

$p = \frac{52}{52} = 1$