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MAXImum [283]
2 years ago
9

Two cards are drawn with replacement, one after the other, and the outcomes recorded. What is the probability that at least one

of the two cards is a face card (Jack, Queen, or King)? (Give the answer as a decimal rounded to three decimal places.)
Mathematics
1 answer:
babymother [125]2 years ago
8 0

Answer:

The probability is 0.231

Step-by-step explanation:

In this question, we are tasked with calculating the probability that out of two cards drawn with replacement from a pack of cards , at least one of the two is a face card.

In a standard pack of cards, there are 52 cards.

Now let’s calculate the number of face cards we have.

There are 12 face cards in a pack of cards. There are 4 of each of Jack, Queen or King

The probability of drawing a face card is 12/52 = 3/13

Now, we want to calculate the probability of at least one of the cards drawn are face cards.

Mathematically, what we are needing to calculate is

Probability of drawing a single face card or probability of the two being a face card

Now let’s calculate.

The probability of the first card drawn being a face card is 3/13. The probability of the second card not being a face card will be 1-3/13 = 10/13

The joint probability under this first set of condition will be 3/13 * 10/13 = 30/169

Now, for the second condition, here we are considering that both cards drawn are face cards. What we have is 3/13 * 3/13 = 9/169

Now in probabilities, whenever we are having the statement or, we add the probabilities together

Thus, the probability here would be 30/169 + 9/169 = 39/169 = 3/13

In decimal this will be 0.231

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makvit [3.9K]

Answer:

-2

Step-by-step explanation:

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Divide by how many there are: -14 / 7 = -2

4 0
2 years ago
What is the solution to (x+6)(x+2)=60
Citrus2011 [14]
Distribute to eliminate the parenthesis

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Combine like terms

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Subtract 60 from both sides

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5 0
3 years ago
Calculate the standard deviation. Variance = 107.76. Mean = 34.2
Llana [10]

Answer:

The standard deviation is 10.38

Step-by-step explanation:

Given;

Variance, v = 107.76

mean, x = 34.2

The standard deviation is given by;

standard deviation = √variance

standard deviation = √107.76

standard deviation =  10.381

standard deviation = 10.38 (two decimal places)

Therefore, the standard deviation is 10.38

8 0
3 years ago
G=3t^2−5t+6<br><br> P=−8t^2+7t−9<br><br> G+P=
kotykmax [81]

Answer:

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Step-by-step explanation:

Collect terms in the sum:

  G+P = (3t^2 -5t +6) +(-8t^2 +7t -9) = (3-8)t^2 +(-5+7)t +(6-9)

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3 0
2 years ago
Which is the area of a circle with a diameter of 7 units? (Use 3.14 for pie
Elis [28]
 <span>area of a circle = pi * r^2 
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8 0
3 years ago
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