SOLUTION: Consider the circles shown. The numbers represent the circles. 1 2 3 4 5 6 Assume that one circle is selected at random and each circle is equally likely to be selected.

Algebra ->  Probability-and-statistics -> SOLUTION: Consider the circles shown. The numbers represent the circles. 1 2 3 4 5 6 Assume that one circle is selected at random and each circle is equally likely to be selected.       Log On


   



Question 461789: Consider the circles shown. The numbers represent the circles.
1 2 3 4 5 6
Assume that one circle is selected at random and each circle is equally likely to be selected. determine the probability of selecting;
-A number less than 2, given that the number is less than 5.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Consider the circles shown. The numbers represent the circles.
1 2 3 4 5 6
Assume that one circle is selected at random and each circle is equally likely to be selected. determine the probability of selecting;
-A number less than 2, given that the number is less than 5.
--------------------
Comment: When you have a condition like "given that the
number is less than 5" that becomes your universe.
Then of the numbers that are "less than 5" you shouldl
find the probability that a number is "less than 2".
That answer is 1/4
--------------------------------------
If you use the conditional formula you get the following:
P(<2 | <5) = P(<2 AND <5)/P(<5) = (1/6)/(4/6) = 1/4
=======================================================
Cheers,
Stan H.