You roll a pair of fair six-sided dice. The sample space of 36 possible outcomes is shown below. Based on this information, answer the following questions.

What is P(A), the probability that the first die is a 5?

What is P(B), the probability that the second die is a 3?

What is P(A and B), the probability that the first die is a 5 and the second die is a 3?

What is P(BA), the conditional probability that the second die is a 3 given that the first die is a 5?

Is P(BA) = P(B)? Are the events A and B independent?

Choose all answers that apply:

A. Yes, P(B/A) = P(B).

B. No, P(B / A ≠ P(B)

C. Yes, events A and B are independent events

D. No, events A and B are not independent events

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

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angle addition postulate

2x=56

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)