Question

a bag contains 4 red blocks 6 blue blocks and 2 yellow blocks. suppose you draw a block at random, return it to the bag, and then draw another block. what is the probability that you will get 2 blue blocks in a row?

Answer 1

`(1)/(4)`

Explanation:

Red = 4

Blue = 6

Yellow = 2

Total = 4 + 6 + 2 = 12

Probability is that event divided by total event, so

Probability of Blue = 6/12 = 1/2

Since, we put the blue again back into the bag, so we still have same amount of each (this is with replacement, probability).

So, 2nd time:

Probability of Blue = 1/2 (same)

Now, we need to multiply these to get probability of blue IN A ROW:

1/2 * 1/2 = 1/4