Problems in Probability: Problems with Solutions

Problem 1
Throw a dice 3 times. What's the probability that we have three 6?
Problem 2
Two dices are tossed simultaneously. What's the probability that the total score is not more than 3?
Answer format: x/y
Problem 3
From a pack of 52 cards, a card is drawn at random. What is the probability of getting a queen?
Answer format: x/y
Problem 4
If S = {a, b} find the value of P(b) if P(a)/P(b) = 5/11.
Answer format: x/y
Problem 5
Throw 2 dices simultaneously. What is the probability that the summation of the numbers is multiply of 4?
Answer format: x/y
Problem 6
10 coins are tossed, find the probability that two heads are obtained.
Problem 7
If P(A)=0.4, P(B)=0.6 and P(A ∪ B)=0.8. What is the value of P(A∩B')=?
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