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taurus [48]
3 years ago
15

Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the

given event. (Round your answer to three decimal places.) A pair is not drawn.
Mathematics
1 answer:
Vlad [161]3 years ago
6 0
<h2>The probability that a pair is not drawn  = 0.765</h2>

Step-by-step explanation:

Here, the total number of cards in the given deck = 52

The total number of suits = 4 (13 cards each)

Now, P( Drawing 2 clubs) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

Similarly,  P( Drawing 2 diamond ) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

P( Drawing 2 spades) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

P( Drawing 2 hearts ) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

⇒ Probability of drawing 2 clubs or 2 spades or 2 hearts or 2 diamonds

=  P( Drawing 2 clubs) +  P( Drawing 2 diamond ) P( Drawing 2 spades)+ P( Drawing 2 hearts )  = (\frac{1}{17})+  (\frac{1}{17})+ (\frac{1}{17})+ (\frac{1}{17}) = 4\times (\frac{1}{17}) = \frac{4}{17}  = 0.2352

Now, P(NOT DRAWING A PAIR) = 1 - P(DRAWING a PAIR)

                                                       = 1- 0.2352 = 0.7647

Hence, the probability that a pair is not drawn  = 0.7647

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igomit [66]

To solve this problem, we must divide the number of movies that Jenny thought were very good by the total number of movies she watched. This is because we are finding a percentage, which represents a part out of a whole that have a factor, which in this case is very good movies. First, we begin by dividing 44/55. Then, we realize that both the numerator and the denominator are divisible by 11, so if we divided them both by 11 that would simplify the fraction.

44/55 = 44/11 / 55/11 = 4/5

Next, we can now easily divide our simplified fraction.

4/5 = 0.8

Finally, we must multiply by 100, because a percentage is a portion of 100 (the total is 100%). This is equivalent to moving the decimal point two places to the right.

0.8 * 100 = 80%

Therefore, Jenny thinks that 80% of the movies she watched this year were very good.

Hope this helps!

7 0
2 years ago
Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.
vitfil [10]

Answer:

(A) e^2

(b) e^{-3}

(c) e^2

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Step-by-step explanation:

We have given expression and we have to simplify the expression using exponent property

(A) (\frac{1}{e})^{-2}

So (\frac{1}{e})^{-2}=\frac{1}{e^{-2}}=e^2

(b) (\frac{e^5}{e^2})^{-1}

So (\frac{e^5}{e^2})^{-1}=(e^{3})^{-1}=e^{-3}

(c) \frac{e^5}{e^3}

So \frac{e^5}{e^3}=e^2

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7 0
2 years ago
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podryga [215]

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3 years ago
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Answer: See explanation

Step-by-step explanation:

Since we given the information that Jordan is preparing serving of baby carrots and that he has 96 baby carrots, while each serving is 12 carats.

The number of shearings that Jordan can prepare will be:

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From the above calculation, there won't be any carrots left since we do not have a remainder.

5 0
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Answer:

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