Question

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?
2
OA)
O B)
21
5
O C)
OD)
14
+ |
45
4
15

Answer 1

2/21

Explanation:

The question is badly formatted so cannot match the answer choice

Total number of tiles = 4 + 5 + 6 = 15

P(A) = P(drawing a black tile from 15 tiles) = 4/15

After event A, there are 14 tiles left : 3 black, + 5 white + 6 blue

P(B/A) = P(drawing white tile after a black tile has been drawn) = 5/14

P(A and B) = P(A).P(B/A) = 4/15 x 5/14 = 2/21

Note that P(B) = 5/15 since we are talking about independently drawing a white tile from the original stack of tiles