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Here is this week\'s Mathbucks problem, where we use the $ notation as if we wer

ID: 3218480 • Letter: H

Question

Here is this week's Mathbucks problem, where we use the $ notation as if we were talking about real dollars: Each ticket to this game is "free." I will roll two fair six-sided dice. If the sum is 4 or lower, you lose $1. Otherwise, I will roll the two dice again. This time, if the sum is 6 or lower, you lose $1. Otherwise, you win $1. In other words, to win $1, the dice must be higher than 4 on the first roll, and then higher than 6 on the second roll. You don't need to give an explanation, but please state how many tickets you are buying."

Explanation / Answer

here probability of winning =P(first roll is higher then 4 and second roll is higher then 6)

=(30/36)*(15/36)=0.3472

as probability of winning is less then probability of losing

we should have 0 tickets