Question 32 of 55intermediate🔧 ApplyShort Answer4 marks
Three coins are tossed once. Find the probability of getting (i) 3 heads (ii) 2 heads (iii) atleast 2 heads (iv) atmost 2 heads (v) no head (vi) 3 tails (vii) exactly two tails (viii) no tail (ix) atleast two tails
(i)
Answer
1/8
(ii)
Answer
3/8
(iii)
Answer
1/2
(iv)
Answer
7/8
(v)
Answer
1/8
(vi)
Answer
1/8
(vii)
Answer
3/8
(viii)
Answer
1/8
(ix)
Answer
1/2
Explanation
The solution is derived by identifying the sample space for tossing three coins, which consists of 8 distinct outcomes. Following the method in Example 9 of the provided context, we list the outcomes and count the favourable ones for each specific event. For instance, 'at most 2 heads' is calculated using the complement method mentioned in the context notes ().