If two loaded dice each have the property that 2 or 4 is three times as likely to appear as 1,3, 5 or 6 on each roll. When two such dice are rolled, the probability of obtaining a total of 7 is , then the value of is, where represents the greatest integer less than or equal to |

If two loaded dice each have the property that 2 or 4 is three times as likely to appear as 1,3, 5 or 6 on each roll. When two such dice are rolled, the probability of obtaining a total of 7 is , then the value of is, where represents the greatest integer less than or equal to |

1 Answer

127 votes

Let the probability of the faces 1, 3, 5 or 6 be for each face Hence, probability of each of the faces 2 or 4 is Now according to the question And Required probability (total of 7 with a draw of dice) |

127 votes

127