Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the t

Question

3 years ago

8

Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the t

ables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up?

Mathematics

2 answers:

kotykmax [81] · Answer 1 · 2022-02-23T03:59:48+03:00

To solve this problem, let us first remember that probability is:

Probability = number of successful events / number of total events

Now, let us first calculate the probability of getting a blue marble. There are 20 blue marbles out of 50 total marbles, therefore the probability is:

P (blue marble) = 20 / 50 = 0.4

Next, let us calculate for the probability of landing tails up. There are 22 tails success out of 50 times the coin was tossed, therefore the probability is:

P (tails) = 22 / 50 = 0.44

Finally, since we want to find the Probability of getting blue and Probability of landing tails, we multiply the two:

P (blue and tails) = 0.4 * 0.44

P (blue and tails) = 0.176 (ANSWER)

Now if the choices are in fraction:

P (blue and tails) = (20 / 50) (22 / 50) = 440 / 2500