The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is less than or equal to 3". Find P(A).
Outcome Probability
1 0.2
2 0.3
3 0.4
4 0.1

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Answer:

0.9

Step-by-step explanation:

The probability of an event is the sum of probabilities of the outcomes in that event. If there are no outcomes in an event, the probability of that event is zero.

The probability of event A is [tex]P(A)=0.9[/tex].

Important information:

  • [tex]P(1)=0.2[/tex]
  • [tex]P(2)=0.3[/tex]
  • [tex]P(3)=0.4[/tex]
  • [tex]P(4)=0.1[/tex]
  • A is the event "the outcome is less than or equal to 3".

We need to find P(A).

Probability:

Using the given information,

[tex]P(A)=P(1)+P(2)+P(3)[/tex]

[tex]P(A)=0.2+0.3+0.4[/tex]

[tex]P(A)=0.9[/tex]

Thus, the probability of event A is [tex]P(A)=0.9[/tex].

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