Practicing Success
Three numbers are chosen at random from numbers 1 to 30. The probability that the minimum of the chosen numbers is 9 and maximum is 25, is |
$\frac{1}{406}$ $\frac{1}{812}$ $\frac{3}{812}$ none of these |
$\frac{3}{812}$ |
Out of first 30 natural numbers, three natural numbers can be chosen in ${^{30}C}_3$ ways. If the minimum and maximum of the numbers chosen are 9 and 25 respectively, then we have to select a number from the remaining 15 numbers i.e. 10, 11,...,...,. 24. .. Favourable number of elementary events = ${^{15}C}_1$. Hence, required probability $=\frac{^{15}C_1}{^{30}C_3}=\frac{3}{812}$ |