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Which of the Cannot Be Valid Assignment of Probability for Elementary Events Or Outcomes of Sample Space S = {W1, W2, W3, W4, W5, W6, W7}: Elementary Events W1 W2 W3 W4 W5 W6 W7 (Iv) 1 14 2 14 3 14 - Mathematics

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प्रश्न

Which of the cannot be valid assignment of probability for elementary events or outcomes of sample space S =  {w1w2w3w4w5w6w7}:

Elementary events: w1 w2 w3 w4 w5 w6 w7
(iv)
\[\frac{1}{14}\]
\[\frac{2}{14}\]
\[\frac{3}{14}\]
\[\frac{4}{14}\]
\[\frac{5}{14}\]
\[\frac{6}{14}\]
\[\frac{15}{14}\]

उत्तर

w1 w2 w3 w4 w5 w6 w7
\[\frac{1}{14}\]
\[\frac{2}{14}\]
\[\frac{3}{14}\]
\[\frac{4}{14}\]
\[\frac{5}{14}\]
\[\frac{6}{14}\]
\[\frac{15}{14}\]

  Given: \[p\left( \omega_7 \right) = \frac{15}{14} > 1\]

Thus, the assignment is not valid.

 
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अध्याय 33: Probability - Exercise 33.3 [पृष्ठ ४८]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 33 Probability
Exercise 33.3 | Q 42.4 | पृष्ठ ४८

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Which of the following can not be valid assignment of probabilities for outcomes of sample space S = {ω1, ω2,ω3,ω4,ω5,ω6,ω7}

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(d) –0.1 0.2 0.3 0.4 -0.2 0.1 0.3
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