2025 IGCSE 0580 May/June P43 Q20

Stephan has two bags, \(A\) and \(B\), each containing red sweets and yellow sweets only.

He picks two sweets at random, one from bag \(A\) and the other from bag \(B\).

The probability that Stephan picks a red sweet from bag \(A\) is \(\dfrac35\).

The probability that Stephan picks a red sweet from bag \(A\) and a red sweet from bag \(B\) is \(\dfrac2{15}\).

1. Find the probability that Stephan picks a red sweet from bag \(B\).[2]
2. Find the probability that Stephan picks a yellow sweet from bag \(A\) and a yellow sweet from bag \(B\).[3]