Question

The probability that i will go sailing today and the fair six-sided die will come up even on the next roll is .3. if these events are independent, what is the probability that i will go sailing today?

Answer 1

The probability that i will go sailing today and the fair six-sided die will come up even on the next roll is .3. if these events are independent, what is the probability that i will go sailing today?

Solution:  Let P(A) be the probability that I will go for sailing today

Let P(B) be the probability of coming up even number on rolling a die.

We are given: P(A and B) = 0.3

We know that Probability of seeing even number on rolling fair die is $\frac{1}{2}=0.5$

Also we know that the two events A and B are independent. Therefore,

P(A and B) = P(A) x P(B)

0.3 = P(A) x 0.5

P(A) = $\frac{0.3}{0.5} =0.6$

Therefore, the probability that i will go sailing today, P(A)  = 0.6