I’m not sure but I think it’s being multiplied by 3.
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:
2x² - 5x - 3
Step-by-step explanation:
Given
(x - 3)(2x + 1)
Each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 1) - 3(2x + 1) ← distribute parenthesis
= 2x² + x - 6x - 3 ← collect like terms
= 2x² - 5x - 3
Answer: There are 456975758 plates that the state can issue.
Step-by-step explanation:
Since we have given that
Number of letters = 4
Number of numerals = 3
And 242 letter arrangements are not allowed.
As we have 26 letters i.e A-Z
and numerals i.e, 0-9
So, the number of plates would be
So, the restricted letters deducting would be
Hence, there are 456975758 plates that the state can issue.
First, we converted each fraction into decimal numbers. You do this by dividing the numerator by the denominator for each fraction as illustrated below:
5/8 = 0.632/8 = 0.25
Then, we compared the two decimal numbers to get the answer.
0.25 is not greater than 0.63. Therefore, 2/8 is not greater than 5/8.
