A jar contains 6 red marbles and 10 blur marbles all of equal size. if Dominic were to randomly select 1 marble without replacement and then select another marble from the jar, what would be the probability of selecting 2 red marbles from the jar.
1st red: 6/16
2nd red: 5/15
both: 6/16*5/15 = 1/8
To find the probability of selecting 2 red marbles, we need to consider the number of ways to select 2 red marbles out of the total number of ways to select any 2 marbles.
The total number of marbles in the jar is 6 + 10 = 16.
To select 2 marbles without replacement, we can calculate the probability as follows:
First, we calculate the probability of selecting the first red marble:
Probability of selecting a red marble = Number of red marbles / Total number of marbles
= 6 / 16
After the first red marble is selected, there will be a total of 16 - 1 = 15 marbles remaining in the jar. Now, we need to calculate the probability of selecting the second red marble, given that the first marble was red:
Probability of selecting the second red marble = Number of remaining red marbles / Remaining marbles
= 5 / 15
To find the probability of both events happening (selecting 2 red marbles), we multiply the probabilities together:
Probability of selecting 2 red marbles = (6 / 16) * (5 / 15)
To simplify the calculation, we can further reduce the fractions:
Probability of selecting 2 red marbles = (3 / 8) * (1 / 3) = 1 / 8
Therefore, the probability of selecting 2 red marbles from the jar is 1/8 or 0.125 (12.5%).
To find the probability of selecting 2 red marbles from the jar, we need to calculate the probability of each step and then multiply them together.
Step 1: Probability of selecting a red marble on the first draw.
The number of red marbles in the jar is 6, and the total number of marbles is 6 + 10 = 16. So the probability of selecting a red marble on the first draw is 6/16.
Step 2: Probability of selecting a red marble on the second draw after selecting a red marble on the first draw.
After the first draw, there is 1 less red marble in the jar, so the number of red marbles remaining is 6-1 = 5. The total number of marbles remaining is 16-1 = 15. Therefore, the probability of selecting a red marble on the second draw is 5/15.
Now we multiply the probabilities of each step together to get the overall probability.
(6/16) * (5/15) = (1/4) * (1/3) = 1/12
So the probability of selecting 2 red marbles from the jar is 1/12.