A bucket contains 5 green tennis balls and 2 yellow
tennis balls. Tony removes 2 tennis balls, with
replacement, from the bucket shown.
What is the probability that Tony will choose a yellow
tennis ball and then a green tennis ball?
how did u guys get these answers
To find the probability of Tony choosing a yellow tennis ball and then a green tennis ball, we need to calculate the probability of each event separately and then multiply the two probabilities together.
Step 1: Calculate the probability of choosing a yellow tennis ball.
There are 2 yellow tennis balls in the bucket out of a total of 7 tennis balls (5 green + 2 yellow). So the probability of choosing a yellow tennis ball on the first draw is 2/7.
Step 2: Calculate the probability of choosing a green tennis ball on the second draw.
After the first draw, there are still 5 green tennis balls and 2 yellow tennis balls, so there are still 7 tennis balls in total. Thus, the probability of choosing a green tennis ball on the second draw (with replacement) is also 5/7.
Step 3: Multiply the probabilities.
The probability of both events happening together (choosing a yellow tennis ball and then a green tennis ball) is the product of the individual probabilities. So multiply 2/7 (from Step 1) by 5/7 (from Step 2):
(2/7) * (5/7) = 10/49
Therefore, the probability that Tony will choose a yellow tennis ball and then a green tennis ball is 10/49.