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stealth61 [152]
3 years ago
7

Draw one card at random from a standard deck of cards. the sample space s is the collection of the 52 cards. assume that the pro

bability set function assigns 1/52 to each of the 52 outcomes. let a = {x: x is a jack, queen, or king}, b = {x: x is a 9, 10, or jack and x is red}, c = {x: x is a club}, d = {x: x is a diamond, a heart, or a spade}.
Mathematics
1 answer:
nikklg [1K]3 years ago
6 0
The probability is a ratio of the possible events to the total events. The total is 52 cards, so the denominator is 52. The individual properties of the specific cards are the following:

Any face or number cards is 4/52, because there are 4 cards for each symbol. On the other hand, each symbol like heart, diamond, club or spade would each have a probability of 13/52 (counting numbers 2 to 10, Ace card, and the 3 face cards). Also, there are 26 each of red and black cards. Furthermore, the words 'or' and 'and' are hint words. When you see 'or', you have to add their individual probabilities. If you see the word 'and', you'll have to multiply them. With that said, the solution is as follows:

a.) P = 4/52 + 4/52 + 4/52 = 3/13
b.) P = (13/52 + 13/52 + 4/52)(26/52) = 15/52
c.) P = 13/52
d.) P = 13/52 + 13/52 + 13/52 = 3/4
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Question 12
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The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 3/4 full. How much gas is still in the tank?

Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

Answer:

Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\

Step-by-step explanation:

The tank for a car holds 17 gallons.

The gasoline gauge of the car shows that the tank is 3/4 full.

We are asked to find the remaining gasoline in the tank.

Gas \: \:left = \frac{3}{4} \times 17 \\\\Gas \: \:left = \frac{51}{4}  \\\\Gas \: \:left = 12 \frac{3}{4}  \: \:gallons \\\\

Therefore, the remaining gas in the tank is 12\frac{3}{4} gallons.

Alternatively:

1 - \frac{3}{4}  = \frac{1}{4}

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Amount of gasoline left = total - consumed

Amount of gasoline left = 17 - \frac{17}{4} = 12\frac{3}{4} \:\: gallons

6 0
3 years ago
1.56 times 48 equals
Crank

Answer:

It equals 74.88

Step-by-step explanation:

U jus multiply them

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