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6. A die is rolled. Find the probability of rolling (a) a 2 (b) an even number (c) a number greater than 4 (d) a
6. A die is rolled. Find the probability of rolling (a) a 2 (b) an even number (c) a number greater than 4 (d) a 7 (e) a number less than 7 7. A card is drawn at random from an ordinary pack containing 52 cards. Find the probability that the card selected is - a 9 - not a 9 - a diamond - a picture card - a heart and a club - a card greater than 6 and less than 9. 8. Consider the population of all students at Accra Polytechnic. A student is selected. Let 'A' be the event that the student is a male, 'B' the event that the student is a statistics major, 'C' the event that the student is under 21 years of age. Describe in symbols the following events: The student is a female, aged 21 years or over The student is a male under 21 years of age and is not a statistics major The student is either under 21 years of age or a male but not both. The student is either under 21 or a statistics major and is a female. 9. Describe in words the following events: (a) (b) (c) (d) (e) 10. Determine the probability p, or on estimate of it, for each of the following events: (a) An odd number appears in a single toss of a fair die. (b) At least one head appears in two tosses of a fair coin. (c) An ace, 10 of diamonds, or 2 of spades appears in drawing a single card from a well- shuffled ordinary card. (d) The sum 7 appears in a single toss of a pair of fair dice. (e) A tail appears in the next toss of a coin if out of 100 tosses 56 were heads 11. An experiment consists of tossing a coin and a die, if, is the event that "head" comes up in tossing the coin and is the event that "3 or 6" comes up tossing the (a) (d) (c) (b) (e) (f) 12. 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 read (e) red or white 13. A fair die is tossed twice. Find the probability of getting a 4, 5, or 6 on the first toss and a 1, 2, 3, or 4 on the second toss. 14. 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 (b) not replaced 15. Three balls are drawn successively from a box containing 6 red balls, 4 white balls, and 5 blue balls. Find the probability that they are drawn in the order red, white, and blue if each ball is (a) replaced (b) not replaced 16. 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) both are white (b) both are black, and (c) one is white and one is black
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