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Question

Mathematics Question on Probability

A box contains 66 red marbles numbers from 11 through 66 and 44 white marbles 1212 through 1515. Find the probability that a marble drawn 'at random' is white and odd numbered.

A

55

B

15\frac {1}{5}

C

66

D

16\frac {1} {6}

Answer

15\frac {1}{5}

Explanation

Solution

Total number of marbles, n(S)=6+4=10n(S)=6+4=10
Marbles which are white and odd numbered =2=2
n(E)=2\therefore n(E)=2
Now, P(E)=n(E)n(S)=210 P(E)=\frac{n(E)}{n(S)}=\frac{2}{10}
=15=\frac{1}{5}