Box 1 contains 3 red

Question

Box 1 contains 3 red and 2 blue box 2 has 2 red and 3 blue ball from 1 is put in box 2 what is probability it is red

Answer 1

Hello, thank you for taking the time to post your question!

The probability that the ball transferred from Box 1 to Box 2 is red will be based on what is in Box 1 at the beginning. So Box 1 has 3 red balls and 2 blue balls, meaning that the total number in Box 1 is 3 + 2 = 5. And of those 5, 3 are red.

So the ending probability here is 3/5 … there is a 3 out of 5 chance that the ball transferred from Box 1 to Box 2 is Red

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

P(A and B) = P(A) X P(B)

P(A) = 3/5       Three red balls out of 5 possible

P(B) = 3/6       Three red balls out of 6 possible

 

(3/5)(3/6)= 3/10