You play a game where you first roll a dice and then flip a coin the number of times as the number which was rolled on the dice. You win the game if all the coins you flip come up heads, Assume that the die is weighted accordingly: P({z}) for 1,2,3,4,5,6. 49 Verify that this is a valid probability distribution on ft={1,2,3,4,5,6). What is the probability you win the game? Round to three decimals. 20