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The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 2". Find P(A). Outcome Probability 1 0.04 2 0.099 3 0.295 4 0.021 5 0.091 6 0.009 7 0.003 8 0.442.

Answer :

Consider that the possible outcomes are 1, 2, 3, 4, 5, 6, 7, 8.

The outcomes favorable to event A ae 2, 4, 6, 8.

So the probability of event A is given by,

[tex]P(A)=P\mleft(2\mright)+P\mleft(4\mright)+P\mleft(6\mright)+P\mleft(8\mright)[/tex]

Substitute the values from the table,

[tex]\begin{gathered} P\mleft(A\mright)=0.099+0.021+0.009+0.442 \\ P(A)=0.571 \end{gathered}[/tex]

Thus, the probability of event A is 0.571

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