Tutorial3 - T utorial 3 Probability 1 0.5p An experiment...

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Tutorial 3 Probability 1 . (0.5p) An experiment consists of tossing a coin and a die. If 1 E is the event that "head" comes up in tossing the coin and 2 E is the event that "3 or 6" comes up in tossing the die, state in words the meaning and calculate probabilities of each of the following: (a) 1 E and ) ( 1 E P , (b) 2 E and ) ( 2 E P , (c) 2 1 E E and ) ( 2 1 E E P , (d) ) ( 2 1 E E P , (e) ) ( 2 1 E E P , (f) 2 1 E E + and ) ( 2 1 E E P + 2 . (0.5p) A ball is drawn at random from a box containing 6 red balls, 4 white balls, and 5 blue balls. Determine the probability that the ball drawn is (a) red, {b) white, (c) blue, (d) not red, and (e) red or white. 3 . (0.25p) Two cards are drawn from a well-shuffled ordinary deck of 52 cards. Find the probability that they are both aces if the first card is (a) replaced and (b) not replaced. 4 . (0.25p) Find the probability of a 4 turning up at least once in two tosses of a fair die. 5 . (0.5p) One bag contains 4 white balls and 2 black balls; another contains 3 white balls and 5 black balls. If one ball is drawn from each bag, find the probability that (a)
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