If-the-odds-in-favour-of-an-event-be-1-3-Find-the-probability-of-an-occurrence-of-the-event-

Question Number 168259 by peter frank last updated on 07/Apr/22

If the odds in favour of an event

be \frac{1}{3} . Find the probability of

an occurrence of the event .

Answered by som(math1967) last updated on 07/Apr/22

i f t h e p r o b a b i l i t y o f o c c u r a n c e

b e \frac{m}{n} t h e n \frac{m}{n - m} i s o d d i n f a v o u r

o f t h e e v e n t

∴ \frac{m}{n - m} = \frac{1}{3}

\Rightarrow 3 m = n - m

\Rightarrow 4 m = n

∴ \frac{m}{n} = \frac{1}{4}

Commented by peter frank last updated on 07/Apr/22

thank you