# You toss a coin and roll a number cube. Find p(tail and a six).

The ratio of number of favourable outcomes to the total number of outcomes is called probability. Probability of an event is always lies between 0 to 1.

## Answer: The probability of getting a tail and a six when a coin is tossed and a cube is rolled is 1/12.

Let's find the probability.

**Explanation:**

P(E) = Number of possible outcomes / Total number of outcomes

Number of possible outcomes of getting a tail by tossing a coin = 1

Total number of outcomes by tossing a coin = 2

⇒ P ( getting a tail ) = 1/2 --------------- (1)

Number of possible outcomes of getting a 6 by rolling a number cube = 1

Total number of outcomes by rolling a number cube = 6

⇒ P ( getting a six ) = 1/ 6 ---------------- (2)

Given that both the events occured simultaneously.

Therefore,

⇒ P ( tail and a six ) = P ( getting a tail ) × P ( getting a six )

⇒ P ( tail and a six ) = 1/ 2 × 1/ 6 [From (1) and (2)]

⇒ P ( tail and a six ) = 1/12