Question

Roll a dice twice. What are the chances you'll get a 2 and a 4?

Examples: 2-9 (Chance of 2 to 9) , 5-13 (Chance of 5 to 13)

Answer 1

Answer: The required probability is

Since the events A and B are independent of each other, so the probability that we will get a 2 and a 4 is given by

`P(A\cap B)=P(A)* P(B)=(1)/(6)*(1)/(6)=(1)/(36).`

Thus, the required probability is [tex]\dfrac{1}{36}.[\tex]

Answer 2

`(1)/(3)`

Explanation:

In probability, "AND" means "MULTIPLICATION" and "OR" means "ADDITION".

Here we want "AND", so we need to multiply individual probability.

Probability of getting a 2 in first roll is 1/6 [one 2 and 6 numbers in total]

Also

Probability of getting a 4 in 2nd roll is 1/6 [one 4 and 6 numbers in total]

Hence, P (2 and 4) = 1/6 + 1/6 = 2/6 = 1/3