Sample space, events, probability theorems and binomial distribution.
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Q1 · Probability · EASY
Two dice are thrown simultaneously. What is the probability that the sum of the numbers on the two dice is 8?
Q2 · Probability · MEDIUM
A bag contains 5 red balls and 7 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?
Q3 · Probability · MEDIUM
A coin is tossed 6 times. What is the probability of getting exactly 4 heads?
Q4 · Probability · EASY
Events A and B are such that P(A) = 0.4, P(B) = 0.5 and P(A ∩ B) = 0.2. Find P(A ∪ B).
Q5 · Probability · HARD
In a certain town, 40% of the people have brown hair, 25% have blue eyes, and 15% have both brown hair and blue eyes. A person is selected at random. Given that the person has brown hair, what is the probability that the person also has blue eyes?