Question

What is the probability that in two tosses of a die, the two numbers that turn up are the same?

Answer 1

Would I add or multiply the probabilities?

Answer 2

what is a die? can you explain?

Answer 3

Dice= two or more dies. (Like the dies you roll in a game)

Answer 4

dice you role in a game*

Answer 5

Well you must first find the probability of one die, which is 1/6 since there are 6 possible outcomes. To roll the same number twice is the same probability of predicting 2 different corresponding numbers. Your prediction will not change the outcome. Therefore you must double your chances making 1/6 into 1/12. You have a 1/12 chance you will roll the same number twice in a row.

Answer 6

How did you mathematically compute the 1/12?

Answer 7

oh ok... it's my 3rd language, sometimes see unfamiliar words. tnx:)

For the first roll, you have achieved your goal successfully no matter
what you get (6 possibilities out of 6 will suffice for the first roll). The
second roll is that what matters. Whatever number you got for the first
(lets call it x) you need to roll the second roll. So what is the probability
that on a single roll (the second roll) you get a particular number x
(where x is whatever you got the first roll)?

Answer 8

1/6

Answer 9

so is it 1/6 or 1/12?

Answer 10

well, the first event has probability 1.
the second event has the probability of 1/6

(in this case event is a die roll)

the probability of dependent events is multiplied

Answer 11

1/12

Answer 12

1/6
The first die roll determines a number, 1 through 6 .
The odds of throwing a matching number on the second roll is 1/6 .

Answer 13

yup