A bag contains 4 black tiles, 5 white tiles, and 6 blue tiles. Event A is defined as drawing a black tile from the bag on the first draw, and event B is defined as drawing a white tile on the second draw.
If two tiles are drawn from the bag, one after the other without replacement, what is P(A and B) expressed in simplest form?

A. 4/45
B. 2/21
C. 4/15
D. 5/14

Answer choice B

Step-by-step explanation:

P(A and B) means that you need to multiply the two probabilities together, since both A and B need to happen. The probability of drawing a black tile on the first draw is 4/15, since there are 15 total tiles and 4 of those are black. On the second draw, the bag is already missing a tile, and there are therefore 14 tiles remaining. For the second one, the probability is 5/14, since there are 14 total tiles and 5 of them are white. Multiplying these two together, you get 4/15*5/14=20/210=2/21, or answer choice B. Hope this helps!

the one on the bottom left

step-by-step explanation:

all of the other ones have a specific pattern