The probability that you picked the fair coin given that the outcome of the toss was heads is 1/3.
There is a one in two chance of drawing the fair coin. The chances of flipping heads again are 1 in 2. As a result, there is a 1 in 4 chance that the coin will land on heads.
There is a one in two chance of drawing the trick coin. The probability of flipping heads is then 2 to 1. As a result, there is a 2 in 4 chance that the coin will land on heads.
When each is multiplied by four, the resulting integers are
fair: 1 and trick: 2
and overall results: 3. (fair and tails is not counted)
The likelihood of a fair coin is one in three.
The likelihood that the chosen coin will show heads and be the fair coin is 33.333%.
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Answer:
L = 10 in
W = 2.5 in
Step-by-step explanation:
Let length be L and width be W
Perimeter = L + L + W + W
Perimeter =2L + 2W
given than length is 4 times the width, or
L = 4W (substitute this back into the perimeter equation above)
Perimeter =2L + 2W
Perimeter =2(4W) + 2W
Perimeter =8W + 2W
Perimeter = 10W
given that the perimeter is 25in
25 = 10W
W = 25 / 10 = 2.5 in (answer for width)
L = 4W = 4(2.5) = 10 in (answer for length)
You can rid the square root and be left with log of 3/5
then you can simplify this further into: log(3) - log(5) and then get the final answer -0.2218
Answer:
0.10512
Step-by-step explanation:
Given the following :
Mean number of calls(μ) in 2 hours = 14
2 hours = 60 * 2 = 120 minutes
Average number of calls in 45 minutes :
= (45 / 120) * 14
= 0.375 * 14
= 5.25
Now find P( x ≤ 2) = p(x = 0) + p( x = 1) + p(x = 2)
Using the poisson probability formula:
P(x, μ) = [(e^-μ) * (μ^x)] / x!
Where :
e = euler's constant
μ = 5.25
x = 0, 1, 2
Using the online poisson probability calculator :
P(x, 5.25) = P( x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x, 5.25) = P( x ≤ 2) = 0.00525 + 0.02755 + 0.07232 = 0.10512
-3*2*2 = - 12
Multiply all to get the answer
