MHT CET 2024 Mathematics question

Suppose three coins are tossed simultaneously. If X denotes the number of heads, then probability distribution of X is

(A)X = x: 0, 1, 2, 3 ; P(X = x):
(B)X = x: 0, 1, 2, 3 ; P(X = x): Correct
(C)X = x: 1, 2, 3 ; P(X = x):
(D)X = x: 0, 1, 2, 3 ; P(X = x):

Answer: (B)

Solution

For three fair coins there are equally likely outcomes. : (TTT), (HTT, THT, TTH), (HHT, HTH, THH), (HHH). This is the table in option (B), and the probabilities sum to 1. Option (A)

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Question ID VK-095540