Answer:
P(white, white) = 8/81
Step-by-step explanation:
From the first bag:
The total is 9 balls.
P(white) = white/total = 2/9
From the second bag:
The total is 9 balls.
P(white) = white/total = 4/9
The events are independent
P(white, white) = 2/9 * 4/9 = 8/81
To calculate the probability of drawing white balls from both bags, we multiply the individual probabilities from each bag, resulting in a probability of 8/81.
The question asks for the probability that both balls drawn from two separate bags are white. To find this probability, we need to calculate the likelihood of drawing a white ball from each bag and then multiply these probabilities together since the events are independent. For the first bag, which contains 7 red and 2 white balls, the probability of drawing a white ball is 2/9. For the second bag, with 5 red and 4 white balls, the probability is 4/9. Multiplying these probabilities together, we get (2/9) × (4/9) = 8/81, which is the probability of drawing white balls from both bags.
