Two six-sided die are tossed. What is the probability that they both come up as one?

Solution:

The ratio between the number of favorable outcomes to the total number of outcomes is called probability. It lies between 0 and 1.

When a two sided dice is rolled, the sample space of the outcome is

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

There is only one outcome where both the dice come up as one.

P(E) = Number of favorable outcome / Total number of outcomes

P(two dice with come up with one) = 1/36

Therefore, the probability that they both come up as one is 1/36.

Two six-sided die are tossed. What is the probability that they both come up as one?

Summary:

Two six-sided die are tossed. The probability that they both come up as one is 1/36.