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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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Answer:

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Finger [1]
the correct question is
<span>The length of a rectangle is represented by 4a + 3b, and its width is represented by 3a-2b. Write a polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero </span>whole number?

we know that
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so
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the answer part a) is
A polynomial for the perimeter of the rectangle is P=14a+2b

Part b) 
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<span>the minimum perimeter of the rectangle is for b=1
</span>so
P=168+2*1-----> P=170 units

the answer part b) is 
the minimum perimeter of the rectangle is 170 units


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