Investigate the difficulty of achieving an outshot of 141 in a game of 501.

A

alexabrooke

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Oct 6, 2012
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3
Hi,

I need some help on my maths assignment. It is about darts. The mission: investigate the difficulty of achieving an outshot of 141 in a game of 501. Present all findings containing diagrams or tables, calculations.

- Display the sample space
- Describe the events (possible outshots of 141)

I really need some help!
 
I already understand that you desire help with the project, but where specifically are you stuck? What have you done or thought about, thus far?

To begin, do you understand the meaning of "outshot of 141 in a game of 501"?

These boards are for tutoring. We need to know about your situation, before we can determine where to begin guidance. Additional information is posted at our Forum Guidelines.
 
mmm4444bot said:
I already understand that you desire help with the project, but where specifically are you stuck? What have you done or thought about, thus far?

To begin, do you understand the meaning of "outshot of 141 in a game of 501"?

These boards are for tutoring. We need to know about your situation, before we can determine where to begin guidance. Additional information is posted at our Forum Guidelines.
Click to expand...

Yes, I do understand the meaning.

I've worked out the outcomes to achieve 141.

They are as follows;

Triple / Triple / Double

19 (57), 20 (60), 12 (24) = 141
17 (51), 20 (60), 15 (30) = 141
15 (45), 20 (60), 18 (36) = 141
19 (57), 18 (54), 15 (30) = 141
19 (57), 16 (48), 18 (36) = 141
18 (54), 17 (51), 18 (36) = 141

Double / Triple / Bullseye

20 (40), 17 (51), 1 (50) = 141
17 (84), 19 (57), 1 (50) = 141


I don't know how to do the sample space. I know that sample space is; S = {.....}

In my case, is it just all the outcomes? Do you also add the outcomes on the dartboard? (1-20)?

This is where I'm stuck...
 
alexabrooke said:
Yes, I do understand the meaning.

I've worked out the outcomes to achieve 141.

They are as follows;

Triple / Triple / Double

19 (57), 20 (60), 12 (24) = 141
17 (51), 20 (60), 15 (30) = 141
15 (45), 20 (60), 18 (36) = 141
19 (57), 18 (54), 15 (30) = 141
19 (57), 16 (48), 18 (36) = 141
18 (54), 17 (51), 18 (36) = 141

Double / Triple / Bullseye

20 (40), 17 (51), 1 (50) = 141
17 (84), 19 (57), 1 (50) = 141


I don't know how to do the sample space. I know that sample space is; S = {.....}

In my case, is it just all the outcomes? Do you also add the outcomes on the dartboard? (1-20)?

This is where I'm stuck...
Click to expand...

There's 20 possible combinations to finish from 141.

Starting with 60 leaves 81. 3 options from there
57 leaves 84. 5 options
54 leaves 87. 2 options
51 leaves 90. 4 options
50 leaves 91. 2 options
48 leaves 93. 1 option
45 leaves 96. 1 option
40 leaves 101. 1 option
D17 leaves 107. 1 option
 
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