Question

Can someone please help me with this problem, I have tried multiple times but still couldn't get a correct answer :( I'd appreciate so much if you could help me

Answer 1

To find the probability of two independent events happening simultaneously, you just multiply the probabilities of each event happening individually.

The probability of getting a blue marble, is the ratio between the amount of blue marbles and the total amount of marbles, which is

`(4)/(10)`

After taking one blue marble out of the bag, and NOT putting it back, changes the total amount of marbles to 9, and the total amount of blue marbles to 3.

The probability of getting a blue marble after taking one blue marble out is

`(3)/(9)=(1)/(3)`

Now, the probability of both events happening simultaneously is their product.

`(4)/(10)*(1)/(3)=(4)/(30)=(2)/(15)`

This is our final answer. The probability of both be blue marbles is 2/15.