Question

A bag contains marbles that are either yellow,

white or red.
If a marble is chosen from the bag at random,
P(yellow) = 34% and P(red) = 15%.
a) Decide whether picking a yellow marble and
picking a red 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(yellow or red). If it is
possible, then work out this probability, giving
your answer as a percentage.

Answer 1

Answer:49%

Explanation:

a) Picking a yellow marble and picking a red marble from the bag are mutually exclusive events because a marble cannot be both yellow and red at the same time. Therefore, if one event occurs, the other cannot occur simultaneously.

b) It is possible to work out P(yellow or red) because the events of picking a yellow marble and picking a red marble are disjoint or mutually exclusive.

To find P(yellow or red), we can add the probabilities of picking a yellow marble and picking a red marble:

P(yellow or red) = P(yellow) + P(red)

P(yellow or red) = 34% + 15%

P(yellow or red) = 49%

Therefore, the probability of picking a yellow or a red marble from the bag is 49%.