Homer and Marge are about to play a game with the following rules.They take turn

Question

Homer and Marge are about to play a game with the following rules.They take turns rolling a standard fair die, starting with Homer. The game endswhen someone rolls a 5 or 6. That person wins the game. (a) Find the probability that Homer will win the game. (b) Suppose that the game ends in a draw if ever two 1's come up ina row. With this change to the rules, find the probability that Homer will win thegame. Homer and Marge are about to play a game with the following rules.They take turns rolling a standard fair die, starting with Homer. The game endswhen someone rolls a 5 or 6. That person wins the game. (a) Find the probability that Homer will win the game. (b) Suppose that the game ends in a draw if ever two 1's come up ina row. With this change to the rules, find the probability that Homer will win thegame.

Explanation / Answer

(a) occurence of the required condition between two has theprobability 1/2. occurence of 5 or 6 from the six possibilities has theprobability 2/6 = 1/3. so, probability that Homer will win the game is (1/2)(1/3) = 1/6. (b) two 1's in a row are possible with (1/6)(1/6) = 1/36 probability. now, the probability that Homer will win the game with thiscondition is (1/36)(1/6) =1/216

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.