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Kiran plays a game of throwing a fair die 3 times but to quit as and when she gets a six. Kiran…

Mathematics20256 marksShort answer
Kiran plays a game of throwing a fair die 3 times but to quit as and when she gets a six. Kiran gets +1 point for a six and −1 for any other number. [Analysis]
Figure for this question
(i)
If X denotes the random variable “points earned” then what are the possible values X can take?
(ii)
Find the probability distribution of this random variable X.
(iii)
Find the expected value of the points she gets.

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Probability

From ISC 2025 Specimen Mathematics Paper 1, question 14.