Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
Answer:
P = (x-3) + (x+6) + x
P = 3x+3
Step-by-step explanation:
To find the perimeter of a figure, you just need to add all sides together. First, you need to set up an equation that adds all sides together. Then, you would need to combine like terms (x+x+x=3x); -3+6=3. So you would take 3x and add 3, since 3 is positive.
Hope this helps!
Answer:
(2,-1)
y= -1
x= 2
Step-by-step explanation:
y= -2x+3
4x-3y=11
substitute the value of y into an equation
4x-3(-2x+3)=11
distribute by multiplying numbers in parenthesis by -3
4x+6x-9=11
add 4x to 6x
10x-9=11
add 9 from both sides
10x=20
divide both sides by 10
x=2
substitute the value of x into an equation
y= -2•2+3
multiply -2 to 2
y= -4+3
add -4 to 3 but 4 is negative, so subtract
y= -1
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(2,-1)
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