Question

The probability of a For Certain event is 1.

The probability of an Impossible event is 0.

The acceptable values for probability are: 0 ≤ Probability ≤ 1.

Complement Rule:

What is the probability that ice water will register a temperature of 105 degrees Fahrenheit?

What is the probability that if flip a fair coin, that it will land on either heads or tails?

Suppose that the probability of rain today is .4200. The complement of it raining today, is that it does not rain today.

What is the probability that it will not rain today?

Answer 1

The sum of the probabilities of two complementary events will always be equal to 1.

In case of flipping a coin, there are two possible events. Either heads will be the outcome or tails. These two events are complementary events.

The probability that the coin will land on heads = 1/2

The probability that the coin will land on tails = 1-(1/2) = 1/2

Now, if we flip a coin, it will either land on heads or tails. There is no other option. So the coin landing either a heads or a tails is a certain event. Hence the probability that the coin lands on either heads or tails = 1

* The probability that it will not rain today = 1-0.42 = 0.58

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