There are 15 marbles in a jar.Five are red,four are blue, and six are yellow.If you draw two blue at random (without replacement), what is the probability that the second marble is blue?
Read you last sentence, it makes no sense
4/15 * 3/15=0.053
To find the probability that the second marble drawn is blue, we need to consider the total number of marbles in the jar and the number of blue marbles remaining after the first blue marble is drawn without replacement.
Step 1: Determine the total number of marbles in the jar.
Given that there are 15 marbles in total, this will be our starting point.
Step 2: Determine the number of blue marbles in the jar.
We know that there are initially four blue marbles in the jar.
Step 3: Determine the number of marbles remaining after the first blue marble is drawn.
Since we are drawing without replacement, after one blue marble is drawn, there are now only three blue marbles left in the jar.
Step 4: Calculate the probability.
To calculate the probability, we use the formula:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes).
In this case, the favorable outcome is drawing a blue marble on the second draw, and the total number of possible outcomes is the number of marbles remaining in the jar after the first draw.
So, the probability of drawing a blue marble on the second draw is:
Probability = (Number of remaining blue marbles) / (Total number of remaining marbles) = 3/14.
Therefore, the probability that the second marble drawn is blue is 3/14.