Cara has one black marble, 2 white marbles, and 3 striped marbles in her marble bag. If she pulls one at a time without replacing the first marble, what is the probability that she will pull a black marble then a striped marble
Prob(black, then striped) = (1/6)(3/5) = 1/10
To find the probability that Cara will pull a black marble then a striped marble, we need to divide the number of favorable outcomes (pulling a black marble then a striped marble) by the total number of possible outcomes.
First, let's determine the total number of marbles in the bag. Cara has one black marble, two white marbles, and three striped marbles, so the total number of marbles in the bag is 1 + 2 + 3 = 6.
Now, we'll calculate the probability of pulling a black marble first. Since there's only one black marble, the probability of pulling a black marble is 1/6.
After pulling the black marble, there are now five marbles left in the bag, with two of them being striped marbles. So the probability of pulling a striped marble next is 2/5.
To find the probability of both events happening (pulling a black marble first and a striped marble next), we multiply the probabilities together: (1/6) * (2/5) = 2/30.
Therefore, the probability that Cara will pull a black marble then a striped marble is 2/30 or simplified to 1/15.