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Answer the following about the probability distribution.
Kiran plays a game of throwing a fair die 3 times but to quit as and when she gets a six. Kiran…
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.

(i)[2.0]
If X denotes the random variable “points earned” then what are the possible values X can take?
(ii)[2.0]
Find the probability distribution of this random variable X.
(iii)[2.0]
Find the expected value of the points she gets.
Answer
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From ISC 2025 Specimen Mathematics Paper 1, question 14.
Check your working with the Probability distribution calculator: find k, the mean, variance and standard deviation of a random variable, with the working table.