A bag contains 6 red marbles, 5 black marbles and 4 white marbles. Two marbles are drawn from the bag, one after the other, without replacement. If the first marble drawn is red, what is the probability that the second marble drawn is also red.
Question
A bag contains 6 red marbles, 5 black marbles and 4 white marbles. Two marbles are drawn from the bag, one after the other, without replacement. If the first marble drawn is red, what is the probability that the second marble drawn is also red.
Solution
Step 1: Identify the total number of marbles in the bag. This is 6 red + 5 black + 4 white = 15 marbles.
Step 2: The first marble drawn is red. So, the number of red marbles left in the bag is now 5 and the total number of marbles is 14.
Step 3: We want to find the probability that the second marble drawn is also red. This is the number of red marbles left (5) divided by the total number of marbles left (14).
So, the probability that the second marble drawn is also red, given that the first one drawn was red, is 5/14.
Similar Questions
In a bag, there are 6 green marbles and 4 red marbles. If two marbles are drawn with replacement, what is the probability of drawing a green marble on both draws?a.0.24b.0.33c.0.46d.0.52
9-41. Thu has a bag with 7 green marbles, 5 blue marbles, and 4 red marbles. For each part below, if the marble selected is replaced before the next marble is drawn, what is the probability that she will draw.4. A red marble?b. A red or a green marble?An orange marble?
A bag contains 8 red marbles, 7 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green?
A bag has 6 blue marbles, 4 red marbles, and 2 green marbles. Two marbles are randomly chosen without replacement. What is the probability that both marbles picked are blue? Answer options with 5 options A. StartFraction 1 over 6 EndFraction B. StartFraction 2 over 24 EndFraction C. StartFraction 5 over 22 EndFraction D. StartFraction 1 over 4 EndFraction E. StartFraction 1 over 3 EndFraction
A bag contains 3 black, 4 red, 3 yellow, and 2 green marbles. What is the probability of drawing a black and then a red marble out of the bag without replacing the black marble before drawing the red marble? Answer options with 5 options A. StartFraction 1 over 144 EndFraction B. StartFraction 1 over 11 EndFraction C. StartFraction 1 over 12 EndFraction D. StartFraction 7 over 12 EndFraction E. StartFraction 27 over 44 EndFraction
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.