The probability is 146/1296 = 0.1127
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The probability of getting a number on the first dice and the same number on the second dice (e.g. a 3 and a 3) is 1/6 x 1/6 = 1/36. There are 6 ways of getting a doublet (i.e. a double 1, 2 , 3, 4, 5 or 6) so the total probability is 6 x (1/36) = 1/6.
Odd numbers are any number with 1,3,5,7,9 at the end of them i.e 135 but odds alone is used to represent chances of an event to happen against chances of not to happen, it is in relation to probability but it is not the same. For example, the probability when you throw two dices to obtain 1 and 1 is 1/36 but the odds are represented as 1 against 35, usually represented as 1 : 35.
Many games utilize dice, for instance Monopoly uses two dice to advance game pieces around the board. Alternatively, RISK uses dices rolled against one another to determine the outcome of player attacks. I'm sure there are many other examples, just brows the game board section Matel or Hasbro and I'm sure you will find other games that utilize two dice.
Possible outcomes of a single dice are 6 ( 1,2,3,4,5,6) So if 5 such dices are rolled then the number of possible outcomes are 6 mulitiplied by 6 five times. 6x6x6x6x6x6=46656 possible outcomes.