You are Here: Home >< Maths

# Probability question...???? watch

1. A box contains 3 mango yogurts, 4 vanilla yogurts, and 6 cherry yogurts.
Three yogurts are selected at random from the box without replacement

Calculate the probability that at least one of the selected yogurt is cherry??
2. (Original post by Sizzo1128)
A box contains 3 mango yogurts, 4 vanilla yogurts, and 6 cherry yogurts.
Three yogurts are selected at random from the box without replacement

Calculate the probability that at least one of the selected yogurt is cherry??
You can use the fact that P(at least one cherry) = 1 - P(no cherry)
3. (Original post by Integer123)
You can use the fact that P(at least one cherry) = 1 - P(no cherry)
Thanks!! how would I calculate P(not cherry) ? ;((
4. (Original post by Sizzo1128)
Thanks!! how would I calculate P(not cherry) ? ;((
The probability that the first isn't a cherry is (3+4)/(3+4+6)=7/13. Then the probability that the second is 6/12 (since we are taking them without replacement). Doing the same for the third allows you to multiply the probabilities together to get P(not cherry). Then subtract this from 1.
5. (Original post by Sizzo1128)
A box contains 3 mango yogurts, 4 vanilla yogurts, and 6 cherry yogurts.
Three yogurts are selected at random from the box without replacement

Calculate the probability that at least one of the selected yogurt is cherry??
Draw a tree diagram and then remember you times along the branches and add across.

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: November 9, 2017
Today on TSR

### Medicine offers

Find out which unis send them quickest

### University open days

• Sheffield Hallam University
Wed, 17 Oct '18
• Staffordshire University
Wed, 17 Oct '18
• Teesside University
Wed, 17 Oct '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams