Home › UP Board Class 10 › Mathematics › Which of the following best states the theoretic…
Which of the following best states the theoretical probability of an event $E$ when all outcomes are equally likely?
A$P(E)=\dfrac{\text{number of trials}}{\text{number of favourable outcomes}}$
B$P(E)=\dfrac{\text{number of favourable outcomes to }E}{\text{number of all possible outcomes}}$
C$P(E)=\dfrac{\text{number of unfavourable outcomes}}{\text{number of all possible outcomes}}$
D$P(E)=\dfrac{\text{number of possible outcomes}}{\text{number of favourable outcomes to }E}$
Answer & Solution
Correct answer: B. $P(E)=\dfrac{\text{number of favourable outcomes to }E}{\text{number of all possible outcomes}}$
For equally likely outcomes, theoretical probability is defined as the ratio of favourable outcomes to total possible outcomes. Hence option B is correct.
Related questions
What is the derivative of $x^x$ for $x>0$?If $y=x^{\tan^{-1}x}$, then $\dfrac{dy}{dx}$ equalsThe derivative of $ in^{-1}x$ isThe derivative of $\cos^{-1}x$ isWhat is $\dfrac{d}{dx}(\tan^{-1}x)$?If $y=\dfrac{1}{x^n}$, then $\dfrac{dy}{dx}$ isWhich identity is correct?For the expression $ qrt{1-x^2}$, a useful trigonometric substitution is