A sample space has three outcomes ₁, ₂, ₃. Which assignment of probabilities to them, in that order, is valid?

Question 29

MediumOriginal question

A sample space has three outcomes $\omega_1$ , $\omega_2$ , $\omega_3$ . Which assignment of probabilities to them, in that order, is valid?

0.4, 0.4, 0.4Correct answerYour answer0.6, −0.1, 0.5Correct answerYour answer0.3, 0.3, 0.3Correct answerYour answer0.2, 0.5, 0.3Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

A valid assignment gives every outcome a probability from 0 to 1, and the probabilities add up to 1.
0.2 + 0.5 + 0.3 = 1. The others add to 1.2, have a negative value, or add to 0.9.

Worth noting

0.6, −0.1, 0.5 adds up to 1, but no probability can be negative.

Concept: A valid assignment of probabilities
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsThe rules every probability follows

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A sample space has three outcomes ω1\omega_1ω1​, ω2\omega_2ω2​, ω3\omega_3ω3​. Which assignment of probabilities to them, in that order, is valid?

Explanation

A sample space has three outcomes $\omega_1$ , $\omega_2$ , $\omega_3$ . Which assignment of probabilities to them, in that order, is valid?