Answer:
a) 7/10
b) 1/6
Step-by-step explanation:
a) There are 10 ways to roll a 5 or less. Of those, 7 are greater than 3.
(die 1)(die 2) ∈ {11, 12, 21, 13, 22, 31, 14, 23, 32, 41}
p(>3 | ≤5) = 7/10
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b) Of the 36 possible outcomes of rolling two dice, there are 6 ways to have a 6 and an odd number:
{16, 36, 56, 61, 63, 65}
The probability of interest is 6/36 = 1/6.