Answer:
Now, add these two equations.
You get,
Given,
You can test this to the other equation as well.
Hence, the two numbers are 14 and 10.
The correct answer is D The last one
Step by step is below
Hopefully this help you
Have a great day :)
Answer:
the conditional probability that X = 1 , X = 2 and X = 3 is 0.7333 (73.33%) , 0.25 (25%) and 0.0167 (1.67%) respectively
Step-by-step explanation:
a player wins money when i>0 then defining event W= gain money , then
P(W) = p(i>0) = p(1)+p(2)+p(3)
then the conditional probability can be calculated through the theorem of Bayes
P(X=1/W)= P(X=1 ∩ W)/P(W)
where
P(X=1 ∩ W)= probability that the payout is 1 and earns money
P(X=1 / W)= probability that the payout is 1 given money was earned
then
P(X=1/W)= P(X=1 ∩ W)/P(W) = P(X=1) / P(W) = p(1) /[p(1)+p(2)+p(3)] = 11/40 /(11/40+3/32+1/160
) = 0.7333 (73.33%)
similarly
P(X=2/W)=p(2) /[p(1)+p(2)+p(3)] = 3/32 /(11/40+3/32+1/160
) = 0.25 (25%)
P(X=3/W)=p(2) /[p(1)+p(2)+p(3)] = 1/160 /(11/40+3/32+1/160
) = 0.0167 (1.67%)
Answer:
1/16 4/64
Step-by-step explanation:
Answer:
Paul spent $12.65
Step-by-step explanation:
Create a system of equations where p is how much Paul spent and t is how much Tammy spent.
p + t = 37.85
p = t - 12.55
Solve by substitution:
p + t = 37.85
(t - 12.55) + t = 37.85
2t - 12.55 = 37.85
2t = 50.4
t = 25.2
Find how much Paul spent by plugging in 25.5 as t into p = t - 12.55
p = t - 12.55
p = 25.2 - 12.55
p = 12.65
So, Paul spent $12.65
