Each time a spinner is spun, the probability that it lands on red is 0.2
Find the probability that the spinner lands on red
for the 1st time on the 4th spin
for the 3rd time on the 8th spin
exactly 4 times during 10 spins
Each time the spinner is spun, the probability that it lands on yellow is 0.4
In a game with this spinner, a player must choose one of two events
\(R\) is the event that the spinner lands on red for the \(\mathbf { 1 s t }\) time in at most 4 spins
\(Y\) is the event that the spinner lands on yellow for the 3rd time in at most 7 spins
Showing your calculations clearly, determine which of these events has the greater probability.