SOLUTION TO LAST MONTH'S QUIZ
1. 1/64
2. 1/16
3. 37/256
Notes.
Q.3 The condition is satisfied if and only if the number of "tails" in the first 8 throws is 0, 1 or 2.
No. of possible sequences for first 8 throws = 2^{8} = 256
No. of sequences with exactly 0 "tails" = 1
No. of sequences with exactly 1 "tail" = 8
No. of sequences with exactly 2 "tails" = 28
So probability = (1 + 8 + 28)/256 = 37/256
