Question

An experiment has three outcomes. I, II, III. If ouctcomes I is twice as likely as outcome II, and outcome II is three times as likely as outcome III, what are the probability value of the three outcomes?

Answer 1

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Answer 2

P(event I) = 6x

P(event II) = 3x

P(event III) = x

Since these are the only outcomes then

P(event I) + P(event II) + P(event III) = 1

10x = 1

so

x = 1/10

3x = 3/10

6x = 6/10 = 3/5

so

P(event I) = 3/5; P(event II) = 3/10; P(event III) = 1/10

Answer 3

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