Range of Probabilities and Complementary Events (HSC SSCE Mathematics Standard): Quizzes

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Range of Probabilities and Complementary Events
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What is the range for all probability values?

0≤P(E)≤10 \leq P(E) \leq 1

What does a probability of 00 represent?

An impossible event

What does a probability of 11 represent?

A certain event

What must the sum of all possible outcomes' probabilities equal?

11

If P(A)=25P(A) = \frac{2}{5} and P(B)=15P(B) = \frac{1}{5}, what is P(C)P(C) if these are all outcomes?

25\frac{2}{5}

Which value indicates an error in probability calculation?

1.51.5

What does E‾\overline{E} represent?

All outcomes NOT in event EE

What is the complementary probability formula?

P(E‾)=1−P(E)P(\overline{E}) = 1 - P(E)

When should you use the complement formula?

When calculating 'not' probabilities

If P(E)=38P(E) = \frac{3}{8}, what is P(E‾)P(\overline{E})?

58\frac{5}{8}

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