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If you pick it up, there is a 99% chance that you will roll the dice upon dropping it, and a 1% chance of it landing on one face and sitting there, not rolling.
You have a 3.125% chance of not rolling an even number, because each time you roll a die you have a 50% chance of not rolling an even number, but each additional time you roll a die your chances of not rolling an even number the formula changes from 3/6 to 3/12 because the possibilities double but your chances of not rolling an even remain the same so eventually we end up with 3/96 because of rolling the die 6 times.
Ignoring friction, It will roll to its initial height. In practice, due to friction and other effects, it will not get to the height but somewhat less.
There are 36 possible outcomes when we roll a pair of dice. Rolling a five can be done the following ways: 3-2, 4-1, 2-3 and 1-4. That's four ways to roll a five with one roll of the dice. The odds of rolling a five are 4 in 36, or 1 in 9. That makes the probability of rolling a five equal to 0.11111....We know that the probability of something is a ratio of the number of times it can be done to the total number of things that are possible. Probabilities range from zero to one, inclusive. If something has a probability of zero, it cannot happen. Like rolling a 13. A 13 cannot be rolled with one roll of a pair of standard dice. Thus the probability of rolling a 13 is zero, as it cannot happen.If something has a probability of one, it must happen. Like the probability of rolling an odd or an even number with one roll of a pair of dice. Since any number we roll must be either odd or even, then the probability of rolling an odd or an even number with one roll of a pair of dice is one. An odd or an even number must turn up, and that is why the probability of rolling an odd or an even number with one roll of the dice is one. Lastly, we've seen that the probability of rolling a given number with one roll of the dice is the number of times that number might appear divided by the total number of possibilities that might appear.
Of the 36 possible combinations rolling two dice there are 2 combinations that add up to 11 so the odds are 18:1