Answer:
Step-by-step explanation:
Player A has a red marble and a blue marble, while Player B also has a red marble and a blue marble.
Therefore, the probability of selecting one marble is equal, at 0.5.
Due to the independence of A and B's choices, the joint event is calculated by multiplying the probabilities.
Let A represent the amount that player A wins.
If both players select one marble, the sample space can be considered as
(R,R) (R,B) (B,R) (B,B)
Probability 0.25 0.25 0.25 0.25
A's winnings 3 -2 -2 1
E(A) 0.75 -0.5 -0.5 0.25 = 0
Thus, the game is even, offering equal expected values for both A and B.
It does not influence the outcome whether you are A or B.
Answer:
150
Step-by-step explanation:
We perform addition.
a) The total of 48 added to itself
= 48 + 48 = 96
b) Its half plus half of the half
= 96 + (1/2 × 48) + (1/2 × (1/2 × 48)
= 96 + 24 + (1/2 × 24)
= 96 + 24 + 12
= 132
c) plus 18
= 132 + 18
= 150
Thus, adding 48 to itself, its half, and half of that to 18 results in 150.
Responses
19 fiction books
7 nonfiction books
Explanation
x + y = 26............................................. (i)
x – y = 12............................................ (ii)
By adding the two equations, Elliot obtained the result of
2x = 38.
When divided by 2;
x = 19
Therefore, there are 19 fiction books.
Substituting x into equation (i),
x + y = 26 when x = 19
19 + y = 26
y = 26 - 19
= 7
This means there are 7 nonfiction books
