Skip to content
Q60Section C (Section C)60 of 60

At least one six in four rolls

A fair die is rolled four times independently. For i=1,2,3,4i=1,2,3,4, define

Yi={1,if 6 appears in the ith throw, 0,otherwise.Y_i=\begin{cases}1, & \text{if }6\text{ appears in the }i^{th}\text{ throw},\ 0, & \text{otherwise.}\end{cases}

Then P(max⁡{Y1,Y2,Y3,Y4}=1)P(\max\{Y_1,Y_2,Y_3,Y_4\}=1) equals ____________ (round off to 2 decimal places)

Numerical answer: type the number (no options).

Type your answer and check it.