1) A fair coin was flipped 3 times and landed heads 3 times. What is the probabi

Question

1) A fair coin was flipped 3 times and landed heads 3 times. What is the probability of a head on the next toss?

a) 0.6 b) 0.4 c) 12 d) none of the previous

2) When an unmanned NASA three stage rocket is launched, the probability of success for stage 1 is 98 %, for stage 2 is 99 % and for stage 3 is 99.5 %. Assuming the three stages are independent, what is the probability for success in all the three stages during a single launch?

a) 0.965 b)1 c)0.8

3) If p(A) = 2/3, p(B) = 1/2 , and p(B/A) = 1/3, what is p(A/B) ?

a) 1/2 b) 2/3 c) 4/9 d) none of the previous

4) Two standard dice are rolled. What are the odds in favor of getting a sum of 3?

a) 1/18 b) 3/36 c) 1/36 d) none of the previous

5) A box contains 11 red balls, 7 blue balls and 2 green balls. Two balls are chosen at random, one by one and without replacement. What is the probability that both will be blue?

a) 21/190 b) 7/20 c) 11/20 d) none of the previous

Explanation / Answer

1) probability of a head on the next toss =1/2

2)probability for success in all the three stages during a single launch =0.98*0.99*0.995=0.965

3)P(A|B)=P(A)*P(B|A)/P(B) =(2/3)*(1/3)/(1/2)=4/9

4)probabilty to get 3 =2/36 =1/18

5) probability that both will be blue =(7/20)*(6/19)=21/190

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