Question

Probability Question! 1. You are going to choose a letter at random from the following set of 7 letters:

A, E, H, T, U, W, X.



--What is P(X)? What is P({H,E})?



Event 1 is that the chosen letter has a horizontal bar in it.

Event 2 is that the letter is contained in the word “WAX.”



What are the sample points in event 1?

What are the sample points in the complement of event 2?

What is the intersection of event 1 and event 2?

What is the union of event 1 and event 2?

Are event 1 and event 2 mutually exclusive? Explain your answer.

Answer 1

HI!!

Answer 2

there are 7 letters all together
the probability you choose an X is one out of seven, i.e \[P(X)=\frac{1}{7}\]

Answer 3

the second one is not clear
if it is \[P(X\cup H)\] then it is two out of seven, i.e \[\frac{2}{7}\]

Answer 4

Thank you so much Misty!! Would the sample points in the complement of event 2 be {E, H, T, U, W, X}?
And would the intersection and union of both events = {A}?

Answer 5

hold on let me see if i understand the question

Answer 6

Okay!

Answer 7

Event 1 is that the chosen letter has a horizontal bar in it.
i would say that is \[\{A, E, H, T,\}\] if i get it right

Answer 8

they each have a horizontal line in them

Answer 9

Event 2 is that the letter is contained in the word “WAX.”
that is just \[\{M, A, X\}\]

Answer 10

What are the sample points in the complement of event 2?
that is everything except what is in \(\{W,A, X\}\) i.e. \(\{E,H,T,U\}\)

Answer 11

\[\{A, E, H, T,\}\] and \[\{W, A, X\}\] have A in common, so the intersection is A, that means they are NOT mutually exclusive

Answer 12

Okay!!! Thank you so much!! The union is Just A too right? That's what I got! @misty1212

Answer 13

no dear the union is not just A

Answer 14

it is everything

Answer 15

i mean all the stuff in \[\{A, E, H, T,\}\]then add all the stuff in \[\{W, A, X\}\]

Answer 16

Ah!! I had a gut feeling about that. Thank you!! I got confused! So, A, E, H, T, W, X! Thank you!!

Answer 17

\[\color\magenta\heartsuit\]