1. Suppose we have a six-sided die that we roll once. Let ai represent the event that the result is i. Let Bj represent the event that the dice comes out greater than j. Let C represent the event that the result is an even number. a) Since the number is greater than 1, what is the conditional probability that 3 is obtained? (P[A3|B1])

b) Since the number is greater than 3, what is the conditional probability that 6 is obtained?

c) Since the result is an even number, what is the conditional probability of a number greater than 3? (ie P[B3|C])

d) Since the number is greater than 3, what is the conditional probability of an even number?

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c. (3,2,6) is the answer.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.