7. Probabilities a. A fair die is tossed once. Find the probability of an odd nu
ID: 3358488 • Letter: 7
Question
7. Probabilities a. A fair die is tossed once. Find the probability of an odd number or a number greater than 4 turning up. b. 2 playing cards are drawn from a deck without replacement. Find the probability that both cards are in the suit of clubs. c. Given the probability that a student takes Mathematics and Spanish is 0.087 and the probability that a student takes Mathematics is 0.68. What is the probability that a student takes Spanish given that the student is taking Mathematics? (Use the conditional probability P(B/A) occurred and An B is the intersection of event A and event B.) = Pan) P in part (e), where A is the event that has p P(A) [4 X 3 = 12 marks]Explanation / Answer
A) number which are odd or greater than 4 = {1, 3, 5, 6}
So, probability = 4/6 = 2/3 or 0.67
B) P(both cards are club) = 13C2 / 52C2 = 0.0588
C) P(Spanish | mathematics) = P(Spanish and mathematics) / P(mathematics)
= 0.087 / 0.68
= 0.1279
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