Answer:
probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3
Step-by-step explanation:
First of all;
Let B1 be the event that the card with two red sides is selected
Let B2 be the event that the
card with two black sides is selected
Let B3 be the event that the card with one red side and one black side is
selected
Let A be the event that the upper side of the selected card (when put down on the ground)
is red.
Now, from the question;
P(B3) = ⅓
P(A|B3) = ½
P(B1) = ⅓
P(A|B1) = 1
P(B2) = ⅓
P(A|B2)) = 0
(P(B3) = ⅓
P(A|B3) = ½
Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;
P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]
Thus;
P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]
P(B3|A) = (1/6)/(⅓ + 0 + 1/6)
P(B3|A) = (1/6)/(1/2)
P(B3|A) = 1/3
Answer:
Step-by-step explanation:
Comment
I would think Pakistan should be more than just 4 times as large as Kenya. However if you are given that Kenya is 50 000 000 then Pakistan will be 4 times the size of Kenya.
Pakistan = 4 * Kenya
Pakistan = 4 * 50 000 000
Pakistan = 200 000 000
Answer: Pakistan = 200 000 000
Answer:I think it is the First one
Step-by-step explanation:
Answer:
D' : (2, 1)
E' : (2, 3)
A' : (5, 3)
Step-by-step explanation:
Answer:
The answer to your question is below
Step-by-step explanation:
1.- Find the volume of the cylinder
Data
diameter = 9 cm
radius = 4.5 cm
height = 15 cm
Formula
V = πr²h
V = π(4.5)²(15)
V = 303.75π This is te answer for the volume in terms of π
= 952.78 cm³
2.- Find the volume of the cylinder
height = 40 yd
radius = 12 yd
Formula
V = πr²h
V = π(12)²(40)
V = 5760π This is te answer for the volume in terms of π
= 18086.4 cm³
3.- What is the height .......
height = q
side length = r
4.- Volume of a pyramid
Volume = Area of the base x height
Area of the base = 11 x 11 = 121 cm²
Volume = 121 x 18
Volume = 2178 cm³