There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick two marbles out of the bag without replacing the first marble chosen. What is the probability of Jamie picking two blue marbles

7/10 * 6/9

To find the probability of Jamie picking two blue marbles, we need to determine the total number of possible outcomes and the number of favorable outcomes.

First, let's calculate the total number of possible outcomes. Jamie will pick two marbles, and there are a total of 10 marbles in the bag. So, the first marble can be any of the 10 marbles, and the second marble can be any of the remaining 9 marbles. Therefore, the total number of possible outcomes is 10 * 9 = 90.

Next, let's determine the number of favorable outcomes. Jamie wants to pick two blue marbles, and there are 7 blue marbles in the bag. So, for the first marble, there are 7 blue marbles, and for the second marble, since the first marble is not replaced, there are 6 blue marbles left. Therefore, the number of favorable outcomes is 7 * 6 = 42.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 42 / 90
Probability = 7/15 ≈ 0.467

So, the probability of Jamie picking two blue marbles is approximately 0.467, or 46.7%.

To find the probability of Jamie picking two blue marbles, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of marbles = 3 white marbles + 7 blue marbles = 10 marbles

For the first pick, Jamie can choose any of the 10 marbles from the bag.

After picking the first marble, there will be a total of 9 marbles left in the bag for the second pick.

Favorable outcomes: Jamie picking a blue marble on the first pick and then another blue marble on the second pick.

There are 7 blue marbles out of 10 possible marbles on the first pick.

After picking a blue marble on the first pick, there are 6 blue marbles left out of the remaining 9 marbles on the second pick.

Therefore, the probability of picking two blue marbles without replacement is:

P(Blue then Blue) = (Number of favorable outcomes) / (Total number of possible outcomes)
= (7/10) * (6/9)
= 42/90
= 7/15

So, the probability of Jamie picking two blue marbles is 7/15.