Answer:
72.4%
Step-by-step explanation:
The probability of A occurring given that B occurs = the probability of both A and B / the probability of B
P(A|B) = P(A∩B) / P(B)
This can be rearranged as:
P(A∩B) = P(B) P(A|B)
In this case:
A = biased coin is chosen
~A = fair coin is chosen
B = 4 heads then 1 tail
First, let's find P(A∩B).
P(A∩B) = P(B) P(A|B)
P(A∩B) = ½ × ₅C₄ (⅘)⁴ (⅕)¹
P(A∩B) = 0.2048
Next, find P(~A∩B).
P(~A∩B) = P(B) P(~A|B)
P(~A∩B) = ½ × ₅C₄ (½)⁴ (½)¹
P(~A∩B) = 0.078125
Therefore, the probability that the coin is biased is:
P = P(A∩B) / (P(A∩B) + P(~A∩B))
P = 0.2048 / (0.2048 + 0.078125)
P = 0.723866749
The probability is approximately 72.4%.
The percent discount is: 20%
Step-by-step explanation:
The formula for percentage will be used to find the percentage of discount.
Given
Original price = $160.95
Discounted price = $128.44
The discount is:
D = Original price - sale price
The percent discount is given by:
Rounding off to nearest whole percent
20%
Hence,
The percent discount is: 20%
Keywords: Percentage, discount
Learn more about percentage at:
#LearnwithBrainly
Answer: (x - 2y) + 3
Step-by-step explanation: The quantity x minus 2y is (x - 2y), then we add 3.
