Answer:
Fair game
Step-by-step explanation:
Let us find the sample space. It is the sum of the two spins
1+1 1+2 1+3 1+4 1+5 1+6
2+1 2+2 2+3 2+4 2+5 2+6
3+1 3+2 3+3 3+4 3+5 3+6
4+1 4+2 4+3 4+4 4+5 4+6
5+1 5+2 5+3 5+4 5+5 5+6
6+1 6+2 6+3 6+4 6+5 6+6
Adding
2,3,4,5,6,7
3,4,5,6,7,8
4,5,6,7,8,9
5,6,7,8,9,10
6,7,8,9,10,11
7,8,9,10,11,12
P(2) = 1/36
p(3) = 2/36
p(4) = 3/36
p(5) = 4/36
p(6) = 5/36
p(7) = 6/36
p(8) = 5/36
p(9) = 4/36
p(10) = 3/36
p(11) = 2/36
p(12) = 1/36
Player A wins if the sum is even
P(2,4,6,8,10,12) = P(2)+P(4)+P(6)+P(8)+P(10) + P (12) because the events are independent
= 1/36 + 3/36+5/36+5/36+3/36 +1/36= 18/36 = 1/2
Player B wins if the sum is odd
P(3,5,7,9,11) = P(3)+P(5)+P(7)+P(9)+p(11) because the events are independent
= 2/36 + 4/36+6/36 +4/36+2/36= 18/36 = 1/2
The probabilities are the same, so this is a fair game
Hey just letting you know the picture won’t load
Answer:
x = 15 hours
y = 25 hours
Step-by-step explanation:
Lets call "x" number of working hours of Clark family sprinklers
and " y " number of working hours of Thomas family sprinklers
Then they both worked in such way that
x + y = 40 (1)
On the other hand the total water output 1100 lts were supplied according to:
35 lts/h * y (hours) + 15 lts/h * x (hours) = 1100 lts
Then
35*y + 15*x = 1100 (2)
Equations 1 and 2 become a system of two equations with two uknown variables x and y
We solve that system
y = 40 - x and 35* ( 40 - x ) + 15* x = 1100
1400 - 35x + 15x = 1100 ⇒ - 20x = -300
x = 15 hours
And
y = 40 - 15 = 25 hours
Well lets try using negatives and positives, negatives for underground positives for above. -6 + 14 = 8 then 8 - 11 = -3. When Herman finally stops climbing he is 3 feet below ground level.
