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Setler [38]
3 years ago
15

Find the probability of drawing an 8 and then a queen (with replacement) from a standard deck of cards

Mathematics
2 answers:
murzikaleks [220]3 years ago
4 0

Prob (8) = 4/52 = 1/13

Prob(Queen) = 4/52 = 1/13

Prob ( 8 then a queen) = 1/13 * 1/13 = 1/169 answer

The probabilities are multiplied beause the 2 events are independent

guapka [62]3 years ago
3 0
There are four 8's and four Queens in a deck of cards. A standard deck has 52 cards total. If you are replacing the cards, then the total number ofbcards does not diminish when choosing the Queen.

4/52 x 4/52 = 16/2704

rounding answer to the nearest thousandth
= 0.006
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4.
Juli2301 [7.4K]
<h3>Answer:  6 ounces</h3>

========================================================

Work Shown:

(6 servings)/(4 oz of sauce) = (8 servings)/(x oz of sauce)

6/4 = 8/x

6*x = 4*8

6x = 32

x = 32/6

x = 5.333 approximately

x = 6 we round up despite 5.333 being closer to 5, than it is to 6.

If we went with 5 ounces, then we wouldn't clear the hurdle needed to serve 8 people.

The section below goes over why this is the case in more detail.

---------

6 servings : 4 ounces

6/4 servings : 4/4 ounces

1.5 servings : 1 ounce

So one ounce of sauce gets us 1.5 servings.

If we multiply both sides by 5, then,

1.5 servings : 1 ounce

5*1.5 servings : 5*1 ounce

7.5 servings : 5 ounces

This shows that 5 ounces of sauce will only produce 7.5 servings, which comes up short compared to 8 servings.

If we multiplied both sides by 6, then

1.5 servings : 1 ounce

6*1.5 servings : 6*1 ounce

9 servings : 6 ounces

This shows that 6 ounces of sauce yields 9 servings. We've gone overboard, but it's better to do that than come up short.

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