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Probability

Problems

Complementary Events and Odds

How to Cite This SparkNote

Problem : What is the probability of an event if the probability of its compliment is ?

Problem : What is the probability of an event if its complement is impossible (has probability 0 )?

1

Problem : If the probability of an event is , what is the probability of its complement?

Problem : If a coin is flipped three times, the probability and getting all heads is . What is the probability of getting tails at least once?

Problem : When flipping a coin, what are the odds for getting heads?

1 : 1

Problem : Paul has 1 green shirt, 5 red shirts, and 9 striped shirts. He randomly draws one out of his drawer.

a) What are the odds for the shirt being green?
b) What are the odds for the shirt being red?
c) What are the odds for the shirt being striped?
d) What are the odds for the shirt not being striped?

a) 1 : 14
b) 5 : 10 , or 1 : 2
c) 9 : 6 , or 3 : 2
d) 6 : 9 , or 2 : 3

Problem : Using the previous problem:

a) What is the probability that the shirt is green?
b) What is the probability that the shirt is red?
c) What is the probability that the shirt is striped?
d) What is the probability that the shirt is not striped?

a)
b)
c)
d)

Problem : If the probability of an event is , what are the odds for the event? The odds against it (the odds for its complement)?

7 : 5 , 5 : 7

Problem : If the odds for an event are 4 : 5 , what is the probability of the event? Of its complement?

,

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