A game consists of tossing a one-rupee coin three times, and noting its outcomee each time. Find the probability of getting (i) three heads, (ii) at least 2 tails.

Answer

` (i) 1/8 (ii) 1/2`

Explanation

When a coin is tossed 3 times, all possible outcomes are
HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.
Number of all possible outcomes = 8.
(i) P(getting 3 heads) = `1/8`.
(ii) At least 2 tails means 2 or 3 tails.
All such cases are HTT, THT, TTH,TTT. Their number is 4.
` :. ` P(getting at least 2 tails) = `4/8 = 1/2`.