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The Probability of Guessing the Correct Answer to a Certain Test Questions is X 12 If the Probability of Not Guessing the Correct Answer to this Question is 2 3 Then X = - Mathematics

MCQ

The probability of guessing the correct answer to a certain test questions is\[\frac{x}{12}\] If the probability of not  guessing the correct answer to this question is\[\frac{ 2}{3}\] then x = 

Options

  • 2

  •  3

  •  4

  • 6

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Solution

 Probability of guessing a correct answer to a certain question is  `x/12`

Probability of not guessing a correct answer to a same question  `2/3`

TO FIND: The value of x

CALCULATIONWe know that sum of probability of occurrence of an event and probability of non occurrence of an event is 1.

If E is an event of occurrence and `overlineE` is its complementary then `P(overlineE)+P(overline E)=1`

According to the question we have 

`x/12+2/3=1`

`(x+8)/12=1` 

`x+8=12`

`x=4`

 

 

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 16 Probability
Q 6 | Page 36
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