# Ashford week 3 homework | Mathematics homework help

Match the proposed probability of A with the appropriate verbal description.

Match the proposed probability of A with the appropriate verbal description.

Consider the following experiment: A coin will be tossed twice. If both tosses show heads, the experiment will stop. If one head is obtained in the two tosses, the coin will be tossed one more time, and in the case of both tails in the two tosses, the coin will be tossed two more times.

Make a tree diagram and list the sample space.

Choose the correct answer.

Consider the following experiment: A coin will be tossed twice. If both tosses show heads, the experiment will stop. If one head is obtained in the two tosses, the coin will be tossed one more time, and in the case of both tails in the two tosses, the coin will be tossed two more times.

The tree diagram and list the sample space is shown below.

Give the composition of the following events.

A = [Two heads]: {}

B = [Two tails]: {}

A letter is chosen at random from the word “TEAM”. What is the probability that it is a vowel?

The probability =

A day of the week will be selected to hold an all-day club picnic. The sample space has seven elementary outcomes e1 , e2, . . ., e7 where e1 represents Sunday, e2 Monday, and so on. Two events are given as A = {e1, e2, e6, e7} and B = {e4, e6, e7}.

A sample space consists of 7 elementary outcomes e1, e2, . . ., e7 whose probabilities are

P(e1) = P(e2) = P(e3) = 0.15 P(e4) = P(e5) = 0.05

P(e6) = 0.2 P(e7) = 0.25

Suppose A = { e4 , e5 , e6 , e7 } , B = { e1 , e6 , e7 } calculate P(A) , P(B) , P(AB) .

P(A) =

For two events A and B, the following probabilities are given.

P(A) = 0.5, P(B) = 0.15, P(A | B) = 0.7

Use the appropriate laws of probability to calculate

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