Respuesta :
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 [tex] \frac{1}{2}=0.5 [/tex]
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) = [tex] \frac{0.3}{0.5} =0.6 [/tex]
Therefore, the probability that i will go sailing today, P(A) = 0.6
The probability that the person will go sailing today if these events are independent is P(A) = 0.6
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Let P(A) be the probability that the person will go sailing today
Let P(B) be the probability of coming up even number on rolling a die.
It is given that P(A and B) = 0.3
We know that the Probability of seeing an even number on a rolling a die is 0.5
Also, 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) = 0.3 / 0.5
= 0.6
Therefore, the probability that the person will go sailing today is P(A) = 0.6
Learn more about probability here;
https://brainly.com/question/11234923
