CAIE S1 2016 June — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2016
SessionJune
TopicBinomial Distribution
TypeCombined probability with other distributions

2 The faces of a biased die are numbered \(1,2,3,4,5\) and 6 . The random variable \(X\) is the score when the die is thrown. The following is the probability distribution table for \(X\).
\(x\)123456
\(\mathrm { P } ( X = x )\)\(p\)\(p\)\(p\)\(p\)0.20.2
The die is thrown 3 times. Find the probability that the score is 4 on not more than 1 of the 3 throws.