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what is the probability of drawing two pink marbles if fhe first one is placed back in the bag before the second draw

what is the probability of drawing two pink marbles if fhe first one is placed back-example-1
User Lancelot
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2 Answers

6 votes

Final answer:

The probability of drawing two pink marbles if the first one is placed back in the bag before the second draw is 4%.

Step-by-step explanation:

The probability of drawing two pink marbles if the first one is placed back in the bag before the second draw can be calculated by multiplying the individual probabilities of drawing a pink marble on each draw. Let's assume that there are 10 marbles in the bag, 2 of which are pink. After the first draw, the pink marble is placed back in the bag, so the probability of drawing it again on the second draw remains the same. Therefore, the probability would be:

P(1st draw = pink) * P(2nd draw = pink) = (2/10) * (2/10) = 0.04 or 4%

User Dimitar II
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4 votes

~Hello There!~

First find out the total number of marbles:

In this case it is 10

Keep this number in mind as it will be the denominator

The probability of getting a pink the first time would be:


(3)/(10)

Since it is replacement, there would still be 3 pink marbles for the second draw so this fraction would also be
(3)/(10)

You would need to multiply these results together to get the final result:


(3)/(10) *(3)/(10)

Doing this would give you an answer of:


(9)/(100)

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

User Icecrime
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