In a bag, there are 10 black plastic chips, 7 yellow, 5 red, and 3 green. Two chips are drawn at random with replacement.
Find P(black, then red).
3/5
2/25
2/3
2/5
since there is replacement, you just want
P(black) * P(red)
yes
To find the probability of drawing a black chip and then a red chip, you need to determine the individual probabilities of drawing a black chip and a red chip, and then multiply those probabilities together.
First, let's find the probability of drawing a black chip. Out of a total of 10 black chips, the probability of picking one at random is 10/(10+7+5+3) = 10/25.
Since the chips are drawn with replacement, after the first chip is drawn, it is returned to the bag, so the total number of chips remains the same.
Next, let's find the probability of drawing a red chip. Out of a total of 5 red chips, the probability of picking one at random is 5/(10+7+5+3) = 5/25.
Now, to find the probability of drawing a black chip and then a red chip, we multiply the individual probabilities together:
P(black, then red) = (10/25) * (5/25) = 50/625 = 2/25.
Therefore, the probability of drawing a black chip and then a red chip is 2/25.