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  3. consider the following experiment: we roll a fair

Consider the following experiment: we roll a fair die twice. The two rolls are independent events....

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Basic Math

Consider the following experiment: we roll a fair die twice. Thetwo rolls are independent events. Let’s call M the number of dotsin the first roll and N the number of dots in the second roll.

(a) What is the probability that both M and N are even?

(b) What is the probability that M + N is even?

(c) What is the probability that M + N = 5?

(d) We know that M + N = 5. What is the probability that M is anodd number?

(e) We know that M is an odd number. What is the probabilitythat M + N = 5?

Answer & Explanation Solved by verified expert
4.3 Ratings (687 Votes)
a What is the probability that both M and N areevenThe total combinations on rolling a dice are given below11 12 13 14 15 1621 22 23 24 25 2631 32 33 34 35 3641 42 43 44 45 4651 52 53 54 55 5661 62 63 64 65 66Favourable event set is    See Answer
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