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

3 blue chips
4 pink chips
8 white chips
Gail 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 Gail takes out a white chip in both draws?
8 over 15 multiplied by 7 over 14 is equal to 56 over 210
8 over 15 plus 7 over 14 is equal to 217 over 210
8 over 15 plus 8 over 15 is equal to 16 over 15
8 over 15 multiplied by 8 over 15 is equal to 64 over 225

Respuesta :

your answer is 8 over 15 plus 7 over 14 is equal to 217 over 210.

The probability of taking two white chips with replacement will be 64/225 so option (D) will be correct.

What is probability?

The probability of an event occurring is defined by probability.

Probability is also known as chance because, if you flip a coin, the likelihood that it will land on its head or tail is nothing more than the chance that either the head or the tail will occur.

Given two events;

1st ⇒ Taking one white chip

Probability = 8/(8+4+3) = 8/15

2nd ⇒ Taking another white chip given that the first one was again put into a bag.

Number of white chips = 8

Total chips = 15

So probability = 8/15

Now the probability of 1st and 2nd combinedly will be multiplication of both individually.

The probability that Gail takes out a white chip in both draws  

8/15 × 8/15  = 64/225

Hence 8 over 15 multiplied by 8 over 15 is equal to 64 over 225 will be the correct answer.

For more information about the probability

brainly.com/question/11234923

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