Probability Problem!!

[msmarvelous]

Can you help me with this?

Abby, Barbara, Carla and Ennis work in a firm's public relations office. Their employer must choose two of them to attend a conference in Chicago. To avoid unfairness, the choice will be made by drawing two names from a hat (sample size of 2)

a) Write down all possible choices of two of the five names. For convenience, you can simply use the first letter of their names.

b) The random drawing makes all choices equally likely. What is the probability of each choice?

c)What is the probability that neither of the two men (Dan and Ennis) is chosen?

 

[Deleted member 4993]

Can you help me with this? Yes we can.

For us to help you properly, please show us your work and indicate exactly where you are stuck - so that we know where to begin to help you.

Abby, Barbara, Carla and Ennis work in a firm's public relations office. Their employer must choose two of them to attend a conference in Chicago. To avoid unfairness, the choice will be made by drawing two names from a hat (sample size of 2)

a) Write down all possible choices of two of the five names. For convenience, you can simply use the first letter of their names.

b) The random drawing makes all choices equally likely. What is the probability of each choice?

c)What is the probability that neither of the two men (Dan and Ennis) is chosen?

 

[msmarvelous]

I am not confident on part B and stuck on part C..how do I calculate something NOT going to happen? Correct me if I'm wrong on the other ones as well.....

Abby, Barbara, Carla and Ennis work in a firm's public relations office. Their employer must choose two of them to attend a conference in Chicago. To avoid unfairness, the choice will be made by drawing two names from a hat (sample size of 2)

a) Write down all possible choices of two of the five names. For convenience, you can simply use the first letter of their names. AB,AC,AD,AE,BC,BD,BE,CD,CE,DE

b) The random drawing makes all choices equally likely. What is the probability of each choice? (since there are 10 possibilities..) 1/10

c)What is the probability that neither of the two men (Dan and Ennis) is chosen? ?

 

[Deleted member 4993]

I am not confident on part B and stuck on part C..how do I calculate something NOT going to happen? Correct me if I'm wrong on the other ones as well.....

Abby, Barbara, Carla and Ennis work in a firm's public relations office. Their employer must choose two of them to attend a conference in Chicago. To avoid unfairness, the choice will be made by drawing two names from a hat (sample size of 2)

a) Write down all possible choices of two of the five names. For convenience, you can simply use the first letter of their names. AB,AC,AD,AE,BC,BD,BE,CD,CE,DE

b) The random drawing makes all choices equally likely. What is the probability of each choice? (since there are 10 possibilities..) 1/10 ....Correct
c)What is the probability that neither of the two men (Dan and Ennis) is chosen? ? ... In part (a) - how many of the choices do not have either D or E?