A bag contains marbles that are either red, blue or green.
If a marble is chosen from the bag at random, $P($ red $)=35 \%$ and
\[
P(\text { green })=13 \%
\]
a) Decide whether picking a red marble and picking a green marble from the bag are mutually exclusive events. Write a sentence to explain your answer.
b) Write a sentence to explain whether it is possible to work out $P$ (red or green). If it is possible, then work out this probability, giving your answer as a percentage.
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Answer
The probability of picking a red or green marble is \(P(\text{red or green}) = P(\text{red}) + P(\text{green}) = 35\% + 13\% = \boxed{48\%}\)
Step 1 ：Picking a red marble and picking a green marble are mutually exclusive events because they cannot occur at the same time.
Step 2 ：The probability of picking a red or green marble is \(P(\text{red or green}) = P(\text{red}) + P(\text{green}) = 35\% + 13\% = \boxed{48\%}\)
