CAIE S1 2019 June — Question 2 3 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2019
SessionJune
Marks3
TopicIndependent Events
TypeFind parameter using independence

2 Jameel has 5 plums and 3 apricots in a box. Rosa has \(x\) plums and 6 apricots in a box. One fruit is chosen at random from Jameel's box and one fruit is chosen at random from Rosa's box. The probability that both fruits chosen are plums is \(\frac { 1 } { 4 }\). Write down an equation in \(x\) and hence find \(x\). [3]