Fernando is going to draw a marble from the bag, replace it, and then draw another marble. What is the probability that Fernando will get a green or blue marble on the first draw and a pink on the second draw?
Fernando is going to draw a marble from the bag, replace it, and then draw another marble. What is the probability that Fernando will get a green or blue marble on the first draw and a pink on the second draw?
(3 green, 4 yellow, 5 blue, 8 pink)
To find the probability, we need to determine the number of favorable outcomes (green or blue on the first draw and pink on the second draw) divided by the total number of possible outcomes.
Let's assume the bag contains 5 marbles - 2 green, 2 blue, and 1 pink.
Step 1: Determine the number of favorable outcomes:
Fernando can draw either a green or blue marble on the first draw. There are a total of 2 green + 2 blue = 4 marbles that satisfy this condition.
On the second draw, Fernando needs to draw a pink marble. There is only 1 pink marble in the bag.
So the number of favorable outcomes is 4 green or blue marbles * 1 pink marble = 4.
Step 2: Determine the total number of possible outcomes:
Since Fernando is replacing the marble after the first draw, the total number of marbles in the bag remains the same for the second draw. Therefore, there are a total of 5 marbles in the bag for both draws.
Step 3: Calculate the probability:
The probability is the number of favorable outcomes divided by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 5
Probability = 0.8 or 80%
Therefore, the probability that Fernando will get a green or blue marble on the first draw and a pink marble on the second draw is 0.8 or 80%.
To find the probability, we need to determine the number of favorable outcomes (marbles that meet the desired conditions) and divide it by the total number of possible outcomes.
Let's break it down step by step:
Step 1: Identify the possible outcomes for each draw.
The first draw has three possibilities: green, blue, or another color.
The second draw also has three possibilities, including pink.
Step 2: Determine the number of favorable outcomes for each draw.
For the first draw, we want a green or blue marble. Assuming there are 10 marbles in total, if 4 are green and 3 are blue, we have 4 + 3 = 7 favorable outcomes for the first draw.
For the second draw, we want a pink marble, so there is only 1 favorable outcome.
Step 3: Calculate the total number of possible outcomes.
Since Fernando replaces the marble back into the bag after each draw, the total number of possible outcomes for both draws would be 10 * 10 = 100.
Step 4: Calculate the probability.
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes.
The probability of getting a green or blue marble on the first draw and a pink marble on the second draw is (7/100) * (1/100) = 7/10,000.
Therefore, the probability is 7/10,000.