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:
{1, 2, 3, 4, 5}
Step-by-step explanation:
Sample space is the set of all possible outcomes. Supposing that the 5 sided number cube has numbers one to five on its sides, the possible outcomes are the numbers that can be rolled, then its sample space is: {1, 2, 3, 4, 5}
I’ll be happy to help!
Since a right angle is equal to 90 degrees, we can add the 67+90 which equals 157, so since a triangle is equal to 180, we can subtract 180-157.
180-157= 23
The answer for x is 23!
Answer:
Step-by-step explanation:
Remark
You could do this by converting the distance but the much more common way is to use kg and m.
Formula
PE = m * g * h
Givens
m = 40000 grams
m = 40000 grams * 1kg/1000 grams = 40 kg
g = 9.81
h = 35 m
Solution
PE = 40 * 9.81 * 35
PE = 13734 Joules
