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Which among the following numbers could be the probability of an event? 1,1.4,-0.54,.32,.02,0
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Which among the following numbers could be the probability of an event? 1,1.4,-0.54,.32,.02,0
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Mathematics
3 years
2021-07-30T06:16:50+00:00
2021-07-30T06:16:50+00:00 1 Answers
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4 Answers:
In other words, choices B and C are the non-answers while everything else is an answer.
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Explanation:
Let p represent the probability of an event. The value of p must be between 0 and 1, inclusive of both endpoints. Symbolically, we can write![Rendered by QuickLaTeX.com 0 \le p \le 1](https://documen.tv/wp-content/ql-cache/quicklatex.com-68db27f9e859cbbf34a2c00b9d63e567_l3.png)
In other words, p = 0 is the smallest it can get and p = 1 is the largest it can get, or it could be anything in between.
The probability p = 0 means that the event will never happen, or there’s 0% of it happening. The probability p = 1 means there’s 100% certainty the event will happen.
Something like p = 1.4 is not possible as this indicates it’s over 100%. So that rules out choice B. Choice C is also ruled out because we can’t have negative probabilities.