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:
reflection
Step-by-step explanation:
it goes against the y axis
<u>Given</u>:
The given expression is 
We need to determine the equivalent expression.
<u>Equivalent expression:</u>
Let us determine the equivalent expression.
The equivalent expression can be determined by simplifying the given expression.
Hence, let us apply the exponent rule to simplify the given expression.
Thus, applying the exponent rule, 
, we get;
Rewriting the expression, we get;
Simplifying, we get;
Thus, the equivalent expression is
Hence, Option C is the correct answer.
Answer:
-10
-I-8I = -8
-(-2) = 4
I-11I = 11
5² = 25
Answer: -10, -8, 4, 11, 25
Answer: 45°
Step-by-step explanation:
Angle a° is alternate with angle 45°
Therefore a°=45°
