Mathematics: Find the two positive numbers whose difference is 24 and whose product is 945 answer asap

Find the two positive numbers whose difference

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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