If a six sided die is rolled three times, what is the probability of getting at least one even number and at least one odd number?
A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 7/8
OA D
Source: Princeton Review
If a six sided die is rolled three times, what is the probability of getting at least one even number and at least one
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
-
- Master | Next Rank: 500 Posts
- Posts: 415
- Joined: Thu Oct 15, 2009 11:52 am
- Thanked: 27 times
Satisfying the requirement would mean the following possible outcomes without regard to order:BTGmoderatorDC wrote: ↑Tue Mar 01, 2022 8:06 pmIf a six sided die is rolled three times, what is the probability of getting at least one even number and at least one odd number?
A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 7/8
OA D
Source: Princeton Review
OOE OR EEO
Either one of the above in its 3 permutations would satisfy.
Because EITHER one would work, their probabilities are added, but there's an easier way.
The only other possible outcomes are
EEE or OOO.
We can subtract the probabilities of these two from 1 to arrive at the answer;
3 even numbers and 3 odd on each side, so probability of either is 1/2. Probability of 3 in a row is then
1/2*1/2*1/2 = 1/8. Since there are 2 ways, multiply by 2 =
1/4.
Subtract from 1= [spoiler]3/4,D[/spoiler]