1 of 8 0-day streak

Finite events, probability assignments and complements

Question 1 of 8

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A finite experiment produces exactly one outcome from the following sample space

S = \{-3,\,-2,\,-1,\,0,\,1,\,2,\,3\}

Event \(A\) is empty: \(A = \varnothing\). It contains no outcomes

(a)1 mark

Which statement correctly describes the experiment, one outcome, the sample space \(S\) and event \(A\)?

An outcome is one result; the sample space \(S\) omits the possible outcome \(3\); and \(A\) is the specified event

An outcome is the whole sample space \(S\); \(S\) is the process; and \(A\) is only the one result \(-3\)

The experiment is the single result \(-3\); \(S\) is that result; and \(A\) is the full list of outcomes

The experiment produces one result. An outcome is \(-3\); \(S\) contains every possible outcome; and \(A\) is the empty event, containing no outcomes

(b)1 mark

Find \(Pr(A)\)

Probability of A

Format: exact fraction or terminating decimal

Determine the probability that the outcome is outside \(A\)

Probability of A′

Format: exact fraction or terminating decimal