There are 6 orange marbles, 2 red marbles, 3 white marbles, and 4 green marbles in a bag. Once a marble is drawn, it IS replaced

Question

2 years ago

6

. Find the probability of selecting 2 orange marbles in a row P(orange, orange). Write your answer as a simplified fraction

1 answer:

professor190 [17] · Answer 1 · 2023-03-17T02:28:13+03:00

The probability of selecting two orange marbles with replacement is 36/169.

Data;

<h3>Probability with replacement</h3>

Since after each draw, the orange marble is replaced.

The total number of marbles in the bag is

6+3+4 = 13

And the number of orange marbles is 6.

For the first selection, the probability of selecting one orange is

$P = \frac{6}{13}$

After drawn and replaced, the probability of selecting another marble is

$P = \frac{6}{13}$

And the probability of selecting two orange marbles with replacement is

$P = \frac{6}{13} * \frac{6}{13} = \frac{36}{169}$

The probability of selecting two orange marbles with replacement is 36/169.

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