(a) let {a1, a2} be a partition of a sample space and let b be any event. state and prove the law of total probability as it applies to the partition {a1, a2} and the event b.
there are two coins in a box; one coin is a fair coin, and the other is a biased coin thatcomes up heads 75 percent of the time. fiona chooses a coin at random and tosses it.
(b) what is the probability that the chosen coin flips heads? (hint: the law of totalprobability.)
(c) given that the chosen coin flips heads, what is the conditional probability that it wasthe biased coin? (hint: bayes’ theorem.)
(d) given that the chosen coin flips tails, what is the conditional probability that it wasthe biased coin?

0.625

Step-by-step explanation:

Given that {A1, A2} be a partition of a sample space and let B be any event. State and prove the Law of Total Probability as it applies to the partition {A1, A2} and the event B.

Since A1 and A2 are mutually exclusive and exhaustive, we can say

b) P(B) = P(A1B)+P(A2B)

Selecting any one coin is having probability 0.50. and A1, A2 are events that the coins show heads.

c) Using Bayes theorem

conditional probability that it wasthe biased coin

=

d) Given that the chosen coin flips tails,the conditional probability that it was the biased coin=

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

welll its a very hard question but ill

step-by-step explanation:

first you take the 6 dollars and add 10 to it then add the 50 to that then multiply by 8 with xy and your answer will be

hope this