Practicing Success
From a box containing 20 tickets marked with numbers 1 to 20, four tickets are drawn one by one. After each draw, the ticket is replaced. The probability that the largest value of tickets drawn is 15 is |
$\left(\frac{3}{4}\right)^4$ $\frac{27}{320}$ $\frac{27}{1280}$ none of these |
$\frac{27}{320}$ |
We have, Probability of drawing a ticket bearing number 15 is $\frac{1}{20}$. Probability of drawing a ticket bearing a number less than or equal to 15 is $\frac{15}{20}=\frac{3}{4}.$ ∴ Required probability= Probability of drawing one ticket bearing number 15 and three tickets bearing numbers less than or equal to 15 $= {^4C}_1 ×\frac{1}{20}×\left(\frac{3}{4}\right)^3=\frac{27}{320}$ |