What is the probability that you are accepted to college M, given that you are accepted to college N?What is the probability that you are accepted to neither college M nor college N? (Hint: You may wish to use a probability table to help you answer this question.)In your own words, explain what it means for acceptance to colleges M and N to be mutually exclusive of each other.Now suppose that you have applied to four colleges, and your probabilities of acceptance are 0.70 for college I, 0.90 for college J, 0.60 for college K, and 0.20 for college L. Assume that the events of acceptance are independent among all these four colleges (I, J, K, and L). PARTICIPATION ACTIVITY 5.11.10: Question 12. Use the multiplication rule for independent events to determine the probability that you are accepted by all four colleges. Would you consider this to be a fairly likely event?Do you think it is reasonable to assume that your acceptances at the four colleges are independent events? Explain why or why not