Mathematics: At a recent breakfast, four friends paid for their own drinks and shared the cost of a bag of donuts. Joe s drink was $1.75. He paid a total of $3.20 for breakfast. How much did the bag of donuts cost?

At a recent breakfast, four friends paid for their

jmullins3611

26.02.2021

$5.80

Step-by-step explanation:

To answer, we must first subtract the toal cost Joe paid by the amount he paid for his drink, because ha paid for his drink separately. so:

3.20 - 1.75 = 1.45

And because there were a total of 4 friends, we mulitply the answer by 4:

1.45 * 4 = 5.8

So, the bag of donuts costed $5.80

Hope this helps :)

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vickybarba025

13.01.2022

The probability that the card drawn is a club is 0.25.

The probability that card drawn is a club, when it is given that the card is black is 0.5.

Step-by-step explanation:

In a standard deck of cards:

Total number of cards = 52

Total number of cards of each suit (club, spade,heart, diamond) = 13

The probability that the card drawn is a club is

$P=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$P=\frac{^{13}C_1}{^{52}C_1}=\frac{13}{52}=0.25$

Therefore the probability that the card drawn is a club is 0.25.

Let A and B represents the following events:

A : Card is black

B : Card is a club

Total number of black cards = 26

$P(A)=\frac{26}{52}=\frac{1}{2}=0.5$

From the above parts

P(B)=0.25

Total number of black club cards = 13

$P(A\cap B)=\frac{13}{52}=\frac{1}{4}=0.25$

We need to find the probability that card drawn is a club, when it is given that the card is black.

$P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)}$

$P(\frac{B}{A})=\frac{0.25}{0.5}=0.5$

Therefore the probability that card drawn is a club, when it is given that the card is black is 0.5.

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