You are Here: Home >< Maths

# S1 (Discrete Random Variables/Probability) watch

'A fairground game involves trying to hit a moving target with a gunshot. A round consists of up to 3 shots. 10 points are scored if a player hits the target, but the round is over if the player misses. Linda has a constant probability 0.6 of hitting the target and shots are independent of one another.'

A game consists of 2 rounds. Find the probability that Linda scores more points in round 2, than in round 1.

I'm really stuck on this question. I've started by listing all the possible scores in Round 2, which are:

10 + 10 + 10
10 + 10 + 0
10 + 0 + 0

The bit that is really confusing me, is the more points that round 1 bit. Could someone give me some pointers?
2. You could also get 0+0+0 (I know this won't beat Round 1 but it could still happen)
First work out the probabilities of getting each score.
3. (Original post by MathsHamster)
You could also get 0+0+0 (I know this won't beat Round 1 but it could still happen)
First work out the probabilities of getting each score.
Ok, so I've got

10 + 10 + 10 = 0.216
10 + 10 + 0 = 0.36
10 + 0 = 0.24 (due to the fact, the round ends when you miss so 0.6 x 0.4)

So do I times the probability of getting 10 in one round, and then 20 in next together, get as many combinations as possible and add them together?
4. This is a question from the November session...Take a look at the mark scheme...Its given pretty clearly over thr...

You can use a tree diagram, tht will be helpful!

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: March 19, 2009
Today on TSR

Uni realities

### University open days

• University of Lincoln
Mini Open Day at the Brayford Campus Undergraduate
Wed, 19 Dec '18
• University of East Anglia
Fri, 4 Jan '19
• Bournemouth University
Wed, 9 Jan '19
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