One jar holds 16 red marbles and 4 blue marbles. A second jar holds 75 white marbles and 25 blue marbles. What is the probability that a blue marble will be drawn from both jars?

1/20

Probability of all/both event is found by multiplying the probability of the individual events.

4/20 * 25/100 = ?

To find the probability of drawing a blue marble from both jars, we need to find the probability of selecting a blue marble from each jar and then multiply those probabilities together.

In the first jar, the probability of selecting a blue marble is given by:

P(blue marble from first jar) = (number of blue marbles in first jar) / (total number of marbles in first jar)
= 4 / (16 + 4)
= 4 / 20
= 1 / 5

In the second jar, the probability of selecting a blue marble is given by:

P(blue marble from second jar) = (number of blue marbles in second jar) / (total number of marbles in second jar)
= 25 / (75 + 25)
= 25 / 100
= 1 / 4

To find the probability of drawing a blue marble from both jars, we multiply these probabilities:

P(blue marble from both jars) = P(blue marble from first jar) * P(blue marble from second jar)
= (1 / 5) * (1 / 4)
= 1 / 20

Therefore, the probability of drawing a blue marble from both jars is 1/20 or 0.05.

To find the probability that a blue marble will be drawn from both jars, we need to find the probability of drawing a blue marble from the first jar and then multiply it by the probability of drawing a blue marble from the second jar.

Let's start with the first jar. We have 16 red marbles and 4 blue marbles, so the total number of marbles in the first jar is 16 + 4 = 20. The probability of drawing a blue marble from the first jar is the number of blue marbles (4) divided by the total number of marbles (20):

Probability of drawing blue marble from the first jar = 4/20

Now let's move on to the second jar. We have 75 white marbles and 25 blue marbles, so the total number of marbles in the second jar is 75 + 25 = 100. The probability of drawing a blue marble from the second jar is the number of blue marbles (25) divided by the total number of marbles (100):

Probability of drawing blue marble from the second jar = 25/100

To find the probability of drawing a blue marble from both jars, we multiply the probabilities together:

Probability of drawing blue marble from both jars = (4/20) * (25/100)

Simplifying the expression gives us:

Probability of drawing blue marble from both jars = 1/20

So, the probability that a blue marble will be drawn from both jars is 1/20.