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# A certain experiment has three possible outcomes. The outco

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A certain experiment has three possible outcomes. The outco [#permalink]  26 Nov 2017, 04:57
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100% (00:32) correct 0% (00:00) wrong based on 9 sessions
A certain experiment has three possible outcomes. The outcomes are mutually exclusive and have$$P$$ , $$\frac{P}{2}$$, and $$\frac{P}{4}$$ respectively. What is the value of P?

A. $$\frac{1}{7}$$

B. $$\frac{2}{7}$$

C. $$\frac{3}{7}$$

D. $$\frac{4}{7}$$

E. $$\frac{5}{7}$$
[Reveal] Spoiler: OA

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Moderator
Joined: 18 Apr 2015
Posts: 5152
Followers: 77

Kudos [?]: 1031 [0], given: 4643

Re: A certain experiment has three possible outcomes. The outco [#permalink]  26 Nov 2017, 06:54
Expert's post
Explanation

$$P + \frac{P}{2} + \frac{P}{4} = 1$$

$$4P + 2P + P = 4$$

$$P = \frac{4}{7}$$

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Re: A certain experiment has three possible outcomes. The outco   [#permalink] 26 Nov 2017, 06:54
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