Um A has balls numbered 1 through 8. Urn B has balls numbered 1 through 3. What is the probability that a 4 is drawn from A followed by a 2 from B?
There are 8 balls in urn A and 3 balls in urn B.
The probability of drawing a 4 from urn A is 1/8 since there is only one ball labeled 4 out of 8 total balls.
After drawing a 4 from urn A, there are now 7 balls remaining. The probability of drawing a 2 from urn B is 1/3 since there is only one ball labeled 2 out of 3 total balls.
To find the probability of both events occurring, we multiply the probabilities:
P(4 from A and 2 from B) = P(4 from A) * P(2 from B)
= 1/8 * 1/3
= 1/24
Therefore, the probability is 1/24.