Answer:
1/13
Step-by-step explanation:
There are 4 king cards:
King of Hearts
King of Diamonds
King of Clover
King of Spades
This is 4 cards in a standard deck of 52. Set as a fraction 4/52.
Simplify:
(4/52)/(4/4) = 1/13
1/13 is the probability of drawing a KIng card.
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The answers are:
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[B]: "√12 " ; AND:
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[D]: "<span>√20" .
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Note: "Irrational numbers" have decimals that are: 1) non-terminating; AND: 2) non-repeating.
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Consider the answer choices given; and consider the given information that there "should be no more than one answer.
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Consider the following answer choices:
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Choice A) "</span><span>√9" = 3 . Rule out this choice.
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Choice C) "</span><span>√16" = 4 . Rule out this choice.
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Choice E) "</span><span>√25" = 5. Rule out this choice.
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We are left with 2 (two) remaining answer choices:
[B]: "</span>√12" ; and: [D]: "<span>√20" .
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If there are more than one answer, then these two choices should be the correct answer. However, let us explore these two choices, using a calculator.
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[B]: </span>"√12" = 3.4641016151377546
[D]: "√20" = 4.4721359549995794
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These two answer choices should the correct answers.
Answer:
0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.
Step-by-step explanation:
The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:

In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.
This means that 
We want 3 boys, so 
The director is going to choose 8 of these kittens at random to be in the commercial.
This means that 
What is the probability that the director chooses 3 boy kittens and 5 girl kittens?
This is P(X = 3).


0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.