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Activity 4 Probability of Complementary Events
Complementary events are two events where probabilities add up to 1.
When pulling out marbles from a bag, the event of pulling out
a blue marble and the event of pulling out a different colored
marble (except blue) are complementary events.
The probabilities of these twoevents can be written as
P(blue) and P(not blue).
Since the probabilities of complementary events add up to 1,
P(A) P(not A) = 1.
So, P(not A) = 1 P(A).
1 . Use the spinner to find the probability of each event.
a. P(green) b. P(not green)
c. P(yellow) d. P(not yellow)
2 . Find the probability of each event when you roll a die.
a. P(1) b. P(not 5)
c. P(even) d. P(not a factor of 4)
e. P(less than 7) f. P(multiple of 8)
146
Complementary events are two events where probabilities add up to 1.
When pulling out marbles from a bag, the event of pulling out
a blue marble and the event of pulling out a different colored
marble (except blue) are complementary events.
The probabilities of these twoevents can be written as
P(blue) and P(not blue).
Since the probabilities of complementary events add up to 1,
P(A) P(not A) = 1.
So, P(not A) = 1 P(A).
1 . Use the spinner to find the probability of each event.
a. P(green) b. P(not green)
c. P(yellow) d. P(not yellow)
2 . Find the probability of each event when you roll a die.
a. P(1) b. P(not 5)
c. P(even) d. P(not a factor of 4)
e. P(less than 7) f. P(multiple of 8)
146