Question

a jar had 6 red marbles and 4 blue marbles. you randomly choose two marbles. find the probability that both marbles are red.

Answer 1

Hey there! I'm happy to help!

If we have 6 red marbles and 4 blue marbles, we have 10 total marbles.

First, we have the probability that a marble we draw is red, which is 6/10. This simplifies to 3/5.

If this happens, there are only 5 red marbles left and 9 total ones. So, the probability of drawing a red one again is 5/9.

We multiply these two probabilities together to see the probability of them both happening.

`(3)/(5) *\frac {5}{9}= (1)/(3)`

The probability that both marbles are red is 1/3.

Have a wonderful day! :D