10. Roll a blue die and a red die. Given that the blue die has an odd value, wha

Question

10. Roll a blue die and a red die. Given that the blue die has an odd value, what is the probability that the sum of the two dice is exactly 4? 11. Roll a blue die and a red die. Given that the blue die has a value of 4 or smaller, what is the probability that the sum of the two dice is 7 or larger? 12. The weather on any given day can either be sunny, cloudy, or partially cloudy. Each day is also classified as dry or rainy. The probability of a sunny day is 0.48, and the probability of a cloudy day is 0.39. The probability of having a sunny and dry day is 0.48. The probability of a cloudy and dry day is 0.14. The probability of a partially cloudy and dry day is 0.09 a. Find the probability of a dry day b. Find the probability of a rainy day c. Find the probability of a sunny day given that it is a dry day d. Find the probability of a dry day given that it is a sunny day e. Find the probability of a cloudy day given that it is a rainy day f. Find the probability that it is a rainy day given that it is a cloudy day

Explanation / Answer

Blue die = { 1.3.5}

red die = {1,2,3,4,5,6}

sum = 4 = (1,3)(3,1)

therefore favourable outcomes = 2

total outcomes =18 (3*6)

prob = 2/18

post each question separately

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