0 votes 0 votes Flip a fair coin. If you toss Heads, roll 1 die. If you toss Tails, roll 2 dice. Compute the probability that you roll exactly one 6. Probability gravner probability engineering-mathematics conditional-probability + – Pooja Khatri asked Sep 23, 2018 Pooja Khatri 361 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 1 votes 1 votes Probability of getting a head=probability of getting a tail=1/2 Case 1: head occurs-->one die is tossed Probability of getting a head=1/2 Probability of getting 6=1/6 Case 2: tail occurs-->two dice are tossed Probability of getting a tail=1/2 Probability of getting exactly one 6=(1/6)*(5/6)*2 [2 is multiplied since 6 can occur either in the 1st die or in the second die] Therefore required probability=(1/2*1/6)+(1/2*1/6*5*6)*2=2/9 Bhagyashree Mukherje answered Sep 24, 2018 selected Sep 24, 2018 by srestha Bhagyashree Mukherje comment Share Follow See all 0 reply Please log in or register to add a comment.