Test Index

Probability Part 1

Section: Mathematics

Question : 95 of 100

Marks: +1, -0

Solution:

X: Mr. A selected wining horse

\overline{X}

: Mr. A did not select wining horse

Mr. A selected two horses, now probability of not wining the first horse which Mr. A choses=

\;\frac{4}{5}

And probability of not wining the second horse also which Mr. A choses

=\;\frac{3}{4}

(Here Mr. A out of remaining 4 horses choses one horse among 3 horses which did not win)

\therefore P(\overline{X})=\frac{4}{5} \times \frac{3}{4}

\therefore P(X)=1-P(\overline{X})

=1-\frac{4}{5} \times \frac{3}{4}

=1-\frac{3}{5}

=\frac{2}{5}

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