There are some counters in a bag - Edexcel - GCSE Maths - Question 9 - 2020 - Paper 3

Given the probabilities for blue and green as 0.32 and 0.20 respectively, we can denote the probability of red as P(R) and yellow as P(Y).

Since the total probability must equal 1, we can express this as:

$P(B) + P(G) + P(R) + P(Y) = 1$

Setting P(R) = 5 * P(Y), we can now substitute:

$0.32 + 0.20 + 5P(Y) + P(Y) = 1$

This simplifies to:

$0.52 + 6P(Y) = 1$
$6P(Y) = 0.48$
$P(Y) = 0.08$

So, P(R) = 5 * 0.08 = 0.40.