Is the answer C ?

yes it is but how did you do it

The answer for each of the quantity is 2/5 â€¦ just simulate the possibilities and find the probability â€¦like for Quantity A in order to get Red in 3rd draw there are just BBR,RBR,BRR so all u need to do is find probability for each of the three events and add to get 2/5 â€¦similarly for Quantity B u get 4 possibilities and the sum of those gives 2/5

I think this question is testing your knowledge about â€śIndependent v/s dependent eventâ€ť and the clue is â€świthout replacementâ€ť thus, making the events dependent on each other. Look at Gregâ€™s Concept classes or search the google for dependent and Independent events and youâ€™ll get it!

The probability of any event is the

**Desired Outcome / Total Number of Outcomes.**

For this problem, letâ€™s have the table of outcomes.

R => Red Marble

B => Blue Marble

Outcome Table:

- BBBRR => B
- BBRBR => A
- BRBBR
- RBBBR
- RBBRB => B
- RBRBB => A
- RRBBB
- BRRBB => A
- BBRRB => A, B
- BRBRB => B

P(A): 4/10 => 2/5

P(B): 4/10 => 2/5

Therefore, **C.**