What are the odds of guessing the number someone is thinking 3 times?

Answer 1

That depends on what the range of the guess is and whether you mean three consecutive times. Example : for guessing a number between 1 and 10 inclusive (10 numbers) the odds are 1 in 10 for each guess, or 0.1. To guess it correctly twice in a row the odds would be 0.1 x 0.1 or (0.1)², which is .01, or one in a hundred. To guess it correctly three times in a row, the odds would be 0.1 x 0.1 x 0.1 or (0.1)³, which is .001 or one in a thousand. It is the range or numbers raised to the power of the number of required correct consecutive guesses. Another example: guess a number between one and fifty inclusive twice in a row. The formula would be : odds=1/(50)², which is 1/2500 or one in 2500.