Step-by-step explanation:
With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.
To pick two of the the same color, they can either pick green twice or yellow twice.
P = (2/3)(2/3) + (1/3)(1/3)
P = 5/9
To pick two different colors, they can either pick green first then yellow, or yellow first then green.
P = (2/3)(1/3) + (1/3)(2/3)
P = 4/9
Expected value for Derek is:
D = (5/9)(-1) + (4/9)(1)
D = -1/9
The expected value for Mia is:
M = (5/9)(1) + (4/9)(-1)
M = 1/9
Answer:
It is 7/24
Step-by-step explanation:
So first you want a common denominator so we have to find the least common multiple of 3 and 8, which is 24.
Next you have to multiply the same to the numerator, I usually go by the phrase whatever you do to the bottom you do to the top. So 8 times 2 is 16 and 3 times 3 is nine.
Everything changed should be 16/24-9/24
then we do 16-9 is 7 and you never subtract the denominators so 2/3-3/8 is 7/24
You would subtract 11 on both sides of the equation.
Then multiply the reciprocal of 1/2 which is 2.
And you should get -16 as your answer <span />
Answer: 2.73 x 10 the the power of 2
Step-by-step explanation:
