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