Multiple Choice (25 pts) 1.1 A, B and Care sets. Which of the following equation
ID: 3336688 • Letter: M
Question
Multiple Choice (25 pts) 1.1 A, B and Care sets. Which of the following equations is wrong? 1. (a) AU(BUC) (AUB)UC (b) An(B n C) (A n B) n C (c) (AUB)c AC n B (d) A-B=AUB: 1.2 A coin is fairly tossed 4 times. The probability of 2 heads is (c) 3/8 (d) 3/4 1.3 A die is tossed twice and the number of dots facing up in each toss is noted in the order of occurrence. The probability that two tosses have the same number is (a) 1/36 (b) 1/12 1.4 There are 3 red balls, 2 green balls and 1 yellow ball in an urn. Two balls are randomly selected from the urn. The probability of picking two red balls is (a) 3/4 (c) 2/5 (d) 3/5 If two sets A and B are mutually exclusive, then (a) P[AU B] = P[A] + P[B] (c) P[A n B] = P[A] + P[8] 1.5 (d) P[A n B] = P[A] . P[8]Explanation / Answer
Solution
1.1) d is not true
1.2) c i.e. 3/8 as total outcome = 16 and 2 head = 6 ,probability = 6/16
1.3) c i.e. 1/6 as total outcome = 36 and same number occurs 6 times, prob = 6/36
1.4) b i.e. 1/5 as prob of picking 2 red balls= (3C2/6C2)
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