Question

which one of the following can be probability ratio
(a) 3/2
(b) 17/11
(c)2/3
(d) -1/2 ​

Answer 1

Answer:

c 2/3 is correct answer

Answer 2

SOLUTION

which one of the following can be probability ratio

$\displaystyle \sf{a) \: \: \frac{3}{2} }$

$\displaystyle \sf{b) \: \: \frac{17}{11} }$

$\displaystyle \sf{c) \: \: \frac{2}{3} }$

$\displaystyle \sf{d) \: \: - \frac{1}{2} }$

CONCEPT TO BE IMPLEMENTED

In any random experiment if the total number of elementary ( simple) events in the sample space be n ( a finite number) among which the number of elementary events favourable to an event E , connected with the experiment be m then the probability of the event E is denoted by P (E) and defined as

$\displaystyle \sf{}P(E) = \frac{m}{n}$

For any event E

$\sf{0 \leqslant P(E) \leqslant 1}$

EVALUATION

CHECKING FOR OPTION (a)

$\displaystyle \sf{ \because \: \: \frac{3}{2} > 1 }$

So it can not be the probability of an event

CHECKING FOR OPTION (b)

$\displaystyle \sf{ \because \: \: \frac{17}{11} > 1 }$

So it can not be the probability of an event

CHECKING FOR OPTION (c)

$\displaystyle \sf{ \because \: \: 0 < \frac{2}{3} < 1 }$

So it can be the probability of an event

CHECKING FOR OPTION (d)

$\displaystyle \sf{ \because \: \: - \frac{1}{2} < 1 }$

So it can not be the probability of an event

FINAL ANSWER

The correct option is

$\displaystyle \sf{c) \: \: \frac{2}{3} }$

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