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There are 10 marbles and 2 of them are red. First pick is 2/10 to get a red and then if you pick a red marble then you have a 1/9 chance to pick a red.
So, 2/10 x 1/9 = 2/90
Simplify 2/90 to get 1/45.
Convert 1/45 to a decimal.
1/45 : 0.022222
Therefore, the probability to the nearest 10th of a percent that both marbles drawn will be red is 0.02%
The probability is the ratio of the favorable event to the total number of events. Then the probability that both marbles are drawn red is 2.22%
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. If two marbles are drawn out of the bag. Then the probability that both marbles are drawn will be red.
The total number of ball will be
Total balls = 2 + 3 + 5 = 10
Then the total event will be
[tex]\rm Total \ event = \ ^{10}C_2\\\\Total \ event = \dfrac{10!}{(10-2)!2!}\\\\Total \ event = 45[/tex]
Then the favorable event will be
[tex]\rm Favorable\ event = \ ^{2}C_2\\\\Favorable\ event = 1[/tex]
Then the probability will be
[tex]\rm P =\dfrac{Favorable \ event }{Total \ event } \\\\P = \dfrac{1}{45} \\\\ P = 0.0222 \ or \ 2.22\%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
