There are two coin purses. The first coin purse contains a nickel (N) and a quar
ID: 2917453 • Letter: T
Question
There are two coin purses.
The first coin purse contains a nickel (N) and a quarter(Q).
The second coin purse contains a penny (P), a dime (D), and aquarter (Q).
One coin is chosen at random from each purse, and the type ofeach coin is recorded.
For example, the outcome (N, D) means “nickel chosen fromfirst purse & dime chosen from second purse.”
(a) List the sample space. (List all the possible outcomes.)
For parts (b) and (c), let event E = “the sum of the coinvalues is less than 15 cents or greater than 30 cents.”
(b) Describe the event E as a subset of the sample space. (Thatis, list the outcomes in the sample space which belong to eventE.)
(c) State the probability: Pr(E) =_______
Explanation / Answer
sample space={NP,ND,NQ,QP,QD,QQ} E={NP, QD,QQ} P(E)=3/6=1/2