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If odds again...

Question

If odds against of an event are $5 : 8$ , what is probability of happening of work?

\frac{8}{13}

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\frac{5}{13}

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\frac{5}{8}

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\frac{8}{5}

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Solution

The correct option is A $\frac{8}{13}$
Odds against event are $5 : 8$
Means ration of not happening of work $= \frac{5}{8}$
$∴$ Sample space has $8 + 5 = 13$ possibilities
$P r o b a b i l i t y o f h a p p e n i n g o f w o r k = \frac{8}{13}$

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Similar questions

There are three events X, Y and Z, out of which only one must happen. If the odds are 8:3 against X, 5:2 against Y, the odds against Z must be:

Verify each of the following :

(i) $\frac{3}{7} \times \frac{- 5}{9} = \frac{- 5}{9} \times \frac{3}{7}$

(ii) $\frac{- 8}{7} \times \frac{13}{9} = \frac{13}{9} \times \frac{- 8}{7}$

(iii) $\frac{- 12}{5} \times \frac{7}{- 36} = \frac{7}{- 36} \times \frac{- 12}{5}$

(iv) $- 8 \times \frac{- 13}{12} = \frac{- 13}{12} \times (- 8)$

\frac{5}{13}

There are three events A,B,C one of which must and only one can happen. The odds are 8 to 3 against A. 5 to 2 against B, finds the odds against C.

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3

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5

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