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kykrilka [37]
3 years ago
7

A standard deck of 52 playing cards contains 13 cards in each of four suits: diamonds, hearts, clubs, and spades. Two cards are

chosen from the deck at random. What is the approximate probability of choosing one club and one heart? 0.0588 0.0637 0.1176 0.1275
Mathematics
2 answers:
Maru [420]3 years ago
8 0

the right answer is 0.1275 just took the test

Lady_Fox [76]3 years ago
7 0

Answer:  Last option is correct.

Step-by-step explanation:

Since we have given that

Number of cards of clubs = 13

Number of cards of heart = 13

We need to take out 2 cards chosen from the deck that is one club and one heart.

Probability of choosing one club and one heart is given by

\frac{^{13}C_1\times ^{13}C_1}{^{52}C_2}\\\\=\frac{13\times 13\times 2\times 1}{52\times 51}\\\\=0.1275

Hence, Last option is correct.

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Inessa05 [86]

Answer:30

Step-by-step explanation:

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1 year ago
On Tuesday, a local hamburger shop sold a combined total of 381 hamburgers and cheeseburgers. The number of cheeseburgers sold w
lutik1710 [3]

Answer:

127 hamburgers

Step-by-step explanation:

let c = # of cheeseburgers

let h = # of hamburgers

c = 2h (The number of cheeseburgers sold was two times the number

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h + c = 381 (combined total)

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Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering
Alla [95]

Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{100} }=0.04

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.04} =-1.75

The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5

The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

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3 years ago
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