Question

An experiment consists of tossing a single die and observing the # of dots that show on the upper face
A:observe a # less than 4
B: Observe a # less than or equal to 2
C: observe a # greater than 3
Find
1) AlB
2)BUC
3)P(AlB)

Answer 1

not sure what 1,2,3 means?

Answer 2

qn #

Answer 3

i wouldn't be any help here. sorry

Answer 4

For #1, is that A | B as in A given B?

Answer 5

And what is the question actually asking for?

Answer 6

yes

Answer 7

Is #1 A | B, or B | A, because A | B doesn't really make too much sense?

Answer 8

no its AlB

Answer 9

l:

Answer 10

Is that intersection? I thought it was a conditional probability question.

Answer 11

it is conditional probability

Answer 12

I'm guessing #1 is asking for the possible results from A | B. Since B is either 1 or 2, and A is either 1, 2, or 3, A | B must be the possible acceptable results.

#2 is asking for the results from the union of B and C, or the combined results of the 2 sets.

#3 actually wants you to find the conditional probability of A given B. This is calculated by \[P(A | B) = \frac {P( A \cap B)}{P(B)}\]Therefore, you need to find the probability that both A and B are satisfied, and divide that by the probability that B is satisfied.