a bag of marbles contains 5 green 4 red and 6 yellow what is la probability of drawing 2 yellow with replacement.
so there's a total of 15 marbles
and there's 6 yellow marbles. thus the probability is 6/15
you want the probability of drawing two marbles, not one
= (6/15)(6/15) with replacement
= 36/225
= 4/25
To calculate the probability of drawing 2 yellow marbles with replacement, we need to consider the total number of marbles in the bag and the number of yellow marbles.
Step 1: Find the total number of marbles in the bag.
The bag contains 5 green marbles, 4 red marbles, and 6 yellow marbles. The total number of marbles is the sum of these three groups: 5 + 4 + 6 = 15.
Step 2: Find the number of yellow marbles.
The bag contains 6 yellow marbles.
Step 3: Calculate the probability of drawing a yellow marble with replacement.
Since we are drawing with replacement, after each draw, we put the drawn marble back into the bag before drawing again. This means the probability remains the same for each draw.
The probability of drawing a yellow marble on any single draw is the number of yellow marbles divided by the total number of marbles: 6/15.
Step 4: Calculate the probability of drawing 2 yellow marbles in a row with replacement.
Since the probability for each draw is the same, we can calculate the probability of multiple independent events (drawing a yellow marble twice) by multiplying the probabilities together.
P(drawing 2 yellow marbles) = P(yellow on the first draw) * P(yellow on the second draw)
= (6/15) * (6/15)
= 36/225
= 4/25
Therefore, the probability of drawing 2 yellow marbles with replacement is 4/25 or 0.16 (rounded to two decimal places).