Q) In a TV show, a contestant opts for video call a friend life line to get an answer from three of his friends, named Amar, Akbar & Anthony. The question which he asks from one of his friends has four options. Find the probability that:
(a) Akbar is chosen for the call.
(b) Akbar couldn’t give the correct answer.
ICSE Specimen Question Paper (SQP)2025
Ans:
a) Probability of Akbar is chosen for the call:
Total number of friends = 3 ( i. e. total outcomes)
If Akbar is chosen, then favorable outcome = 1
β΅ Probability = ![]()
Therefore, the probability of Akbar is chosen for the call ![]()
(ii) Probability of Akbar gives wrong answer:
Step 1: β΅ Given that options of the answer = 4Β (i.e. total outcomes)
Since only one answer is to be given, β΄ possible favorable outcomes = 1
β΅ Probability of giving correct answer = Probability of choosing correct option
= ![]()
Step 2: β΄ Probability of giving incorrect answer = 1 – Probability of giving correct answer
= 1 – ![]()
Therefore, the probability of Akbar giving incorrect answer is ![]()
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