Question

PLEASE HELP ME!!! WILL MARK BRAINLIEST!!!

The number of chips of different colors in Amy's bag is shown below:


8 blue chips

9 pink chips

1 white chip

Amy takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Amy takes out a pink chip in both draws?

9 over 18 multiplied by 8 over 17 equals 72 over 306

9 over 18 plus 8 over 17 equals 297 over 306

9 over 18 multiplied by 9 over 18 equals 81 over 324

9 over 18 plus 9 over 18 equals 18 over 18

Answer 1

(9/18)(9/18) = 81/324. The probability that Amy takes out pink chips in both draws is 81/324.

In this example we will use the probability property P(A∩B), which means given two independent events A and B, their joint probability P(A∩B) can be expressed as the product of the individual probabilities P(A∩B) = P(A)P(B).

The total number of chips of different colors in Amy's bag is:

8 blue chips + 9 pink chips + 1 white chip = 18 color chips

Amy takes out a chip from the bag randomly without looking, she replaces the chip and then takes out another chip from the bag.

So, the probability that Amy takes out a pink chip in the first draw is:

P(A) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.

Then, Amy replaces the chip an takes out another which means there are again 18 color chips divide into 8 blue chips, 9 pink chips, and 1 white chip. So, the probability of takes out a pink chip in the second draw is:

P(B) = 9/18  The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.

What is the probability that Amy takes out a pink chip in both draws?

P(A∩B) = P(A)P(B)

P(A∩B) = (9/18)(9/18) = 81/324

Answer 2

Probability of taking out pink chip in both draws is equal to $9$ over $18$multiplied by $9$ over $18$ equals $81$ over $324$.

What is probability?

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability $= \frac{n(F)}{n(T)}$

$n(F)=$ Number of favourable outcomes

$n(T)=$ Total number of outcomes

For independent events

$P(A\cap B) = P(A) \times P(B)$

According to the question,

Given,

Total number of chips $= 18$

Number of pink chips $= 9$

$'A'$ represents the event of taking out pink chip first time

$'B'$ represents the event of taking out pink chip second time

Probability of taking out pink chip first time $'P(A)' = \frac{9}{18}$

After replaces the chips again number of chip remain same

Probability of taking out pink chip second time $'P(B)' = \frac{9}{18}$

Both the events are independent to each other

Substitute the value in the formula of probability of independent event we get,

Probability of taking out pink chip in both draw

$P(A \cap B) = \frac{9}{18} \times \frac{9}{18}$

               $= \frac{81}{324}$

Hence, probability of taking out pink chip in both draw is equal to $9$ over $18$multiplied by $9$ over $18$ equals $81$ over $324$.

Learn more about probability here

brainly.com/question/11234923

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