Urn A has balls numbered 1 through 7. Urn B has balls numbered 1 through 5. A ball is selected at random from urn A and then a ball is selected at random from urn B. What is the probability that a 4 is drawn from A followed by a 2 from B?
1/35
Pa(4) = 1 ball out of 7
Pb(2) = 1 ball out of 5
Probability that both events will happen is the product of the two probabilities.
To find the probability of drawing a 4 from urn A followed by a 2 from urn B, we will use the concept of independent events.
Step 1: Calculate the probability of drawing a 4 from urn A.
Urn A has balls numbered 1 through 7, so the probability of drawing a 4 from urn A is 1/7.
Step 2: Calculate the probability of drawing a 2 from urn B.
Urn B has balls numbered 1 through 5, so the probability of drawing a 2 from urn B is 1/5.
Step 3: Multiply the probabilities from Step 1 and Step 2 to get the overall probability.
The events of drawing a 4 from urn A and then a 2 from urn B are independent. Therefore, we can multiply the probabilities:
(1/7) * (1/5) = 1/35
Therefore, the probability of drawing a 4 from urn A followed by a 2 from urn B is 1/35.
To solve this problem, we need to find the probability of drawing a 4 from urn A and then a 2 from urn B.
Let's start by calculating the probability of drawing a 4 from urn A. Urn A has 7 balls, so the probability of drawing a 4 from urn A is 1/7.
Next, let's calculate the probability of drawing a 2 from urn B. Urn B has 5 balls, so the probability of drawing a 2 from urn B is 1/5.
To find the probability of both events occurring, we need to multiply the probabilities of each event together. Therefore, the probability of drawing a 4 from urn A followed by a 2 from urn B is (1/7) * (1/5) = 1/35.
So, the probability of drawing a 4 from urn A followed by a 2 from urn B is 1/35.