bag of Skittles contains 8 green Skittles, 4 red Skittles, 7 yellow Skittles, 8
ID: 3044420 • Letter: B
Question
bag of Skittles contains 8 green Skittles, 4 red Skittles, 7 yellow Skittles, 8 purple Skittles, and 5 orange Skittles. Suppose you take one Skittle from the bag without looking. (i) What is the probability of taking a green Skittle? i) What is the probability the Skittle will not be green? O. A box contains 30 6 5 hardback mysteries, 7 paperback mysteries, 1 hardback romance, 6 paperback romances, 3 hardback science fiction and 7 paperback science fiction. Suppose you are ven one of these books at random. 6) What is the probability it is a hardback mystery? (ii) What is the probability it is a hardback? (ii) What is the probability it is a mystery? liv) What is the probability it is a hardback or a mystery?Explanation / Answer
Solution:
N. Total number of skittles in the given bag = 8 green + 4 red + 7 yellow + 8 purple + 5 orange
= 32
(i) probability of taking a green skittle = number of greens in the bag / total number of skittles
= 8 / 32 = 1 / 4 = 0.25
(ii) probability of not taking a green skittle = 1 - probability of green
= 1 - 0.25 = 0.75
O. Total number of books in the box = 30
(i) Probability of getting hardback mystery = Number of hardback mysteries / total number of books
= 6 / 30 = 1 / 5 = 0.2
(ii) Probability of getting a hardback = number of hardback books / total number of books
= (6 + 1 + 3) / 30
= 10 / 30 = 1/3 = 0.333
(iii) probability of getting a mystery = number of mystery / total number of books
= (6 + 7) / 30 = 13 / 30 = 0.433
(iv) Probability of getting a hardback or a mystery =
= (number of hardbacks + number of paperback mysteries) / 30
= (10 + 7) / 30 = 17 / 30
= 0.566
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