1: (-1,2)
2: (2,5)
3: (3,0)
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:
7x+5
Step-by-step explanation:
2x+5+2x+3x
=2x+2x+3x+5
=7x+5
Answer:
isnt it by the Y-intercept?
Step-by-step explanation:
Answer:
25, 12
Step-by-step explanation:
let x represent one number and y represent the other number
x+y=37 (sum is addition)
x-y=13 (difference is subtraction)
Im solving using the substitution method
x-y=13 add y to both sides to get x by itself
x=13+y
13+y+y=37 substitute x for the solution above in the other equation and simplify
2y=24
y=12
plug in y into one of the equations
x+12=37 subtract 12 from both sides
x=25
