Question

Which of the following are true statements? The probability of an event is always at least...

Which of the following are true statements?

  1. The probability of an event is always at least 0 and at most 1.
  2. The probability that an event will happen is always 1 minus the probability that it won't happen.
  3. If two events cannot occur simultaneously, the probability that at least one event will occur is the sum of the respective probabilities of the two events
a.

II only
b.

I only
c.

Only I and III are true statements
d.

I, II and III are all true statements
e.

III only
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

1. The probability of an event is always at least 0 and at most 1.

probability is between 0 to 1.

Hence statement is true

2.The probability that an event will happen is always 1 minus the probability that it won't happen.

yes its true

P( Ac) = 1 - P(A)

3. If two events cannot occur simultaneously, the probability that at least one event will occur is the sum of the respective probabilities of the two events

It is also true

Hence I, II and III are all true statements

Hence option D is correct

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