Math Q: Which has better odds?

Math Q: Which has better odds? - Printable Version

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Math Q: Which has better odds? - Sentinel - 26-01-2023

Toto 6 numbers

OR

Toto 5 + 1 additional numbers

Calculate..

RE: Math Q: Which has better odds? - grotesqueness - 26-01-2023

(26-01-2023, 08:21 PM)Sentinel Wrote: Toto 6 numbers

OR

Toto 5 + 1 additional numbers

Calculate..

6 numbers is 6 numbers out of 6 numbers

5 + 1 additional numbers is 6 numbers out of 7 numbers

RE: Math Q: Which has better odds? - winbig - 26-01-2023

(26-01-2023, 08:21 PM)Sentinel Wrote: Toto 6 numbers

OR

Toto 5 + 1 additional numbers

Calculate..

Same lah. Calculate what? Laughing

RE: Math Q: Which has better odds? - WhatDoYouThink! - 26-01-2023

5+1 has higher chance of winning, that's why the prize is lower. Can do a simple calculations:

1. Strike all 6:

P1 = 1/c(49, 6)

2. Strike 5 + 1:

P2 = c(6, 5)×c(43, 1)/c(49, 6)

Look up for
c(6, 5)×c(43, 1) = 6x43 = 258

So p2 = 258 x p1

RE: Math Q: Which has better odds? - winbig - 26-01-2023

(26-01-2023, 08:46 PM)WhatDoYouThink! Wrote: 5+1 has higher chance of winning, that's why the prize is lower. Can do a simple calculations:

1. Strike all 6:

P1 = 1/c(49, 6)

2. Strike 5 + 1:

P2 = c(6, 5)×c(43, 1)/c(49, 6)

Look up for
c(6, 5)×c(43, 1) = 6x43 = 258

So p2 = 258 x p1

5+1 is also 6 numbers. Probability to get 6 numbers are the same.

RE: Math Q: Which has better odds? - WhatDoYouThink! - 26-01-2023

(26-01-2023, 08:50 PM)winbig Wrote: 5+1 is also 6 numbers. Probability to get 6 numbers are the same.

Aiya, this is sec3 or sec4 maths, you forgot already

RE: Math Q: Which has better odds? - winbig - 26-01-2023

(26-01-2023, 08:56 PM)WhatDoYouThink! Wrote: Aiya, this is sec3 or sec4 maths, you forgot already

So p2 = 258 x p1

You are saying that it's easier to strike 6 numbers?

RE: Math Q: Which has better odds? - exEDMW here are losers - 26-01-2023

Look at winning prize lor.

Higher means less probablity.

RE: Math Q: Which has better odds? - WhatDoYouThink! - 26-01-2023

(26-01-2023, 09:11 PM)winbig Wrote: So p2 = 258 x p1

You are saying that it's easier to strike 6 numbers?

The probability of winning 6 numbers p1 is about 1/14m. For 5+1, p2 is about 258/14m.

Aiya, nvml. All you need is luck to win anything

RE: Math Q: Which has better odds? - forum456 - 26-01-2023

(26-01-2023, 08:21 PM)Sentinel Wrote: Toto 6 numbers

OR

Toto 5 + 1 additional numbers

Calculate..

it does not matter because your Toto ticket can be used for both of them.

RE: Math Q: Which has better odds? - WhatDoYouThink! - 27-01-2023

Can be summarised as follows:

P6= (6,6)(1,0)(42, 0)/(49,6)
P5+1 = (6, 5)(1,1)(42, 0)/(49,6)
P5 = (6, 5)(1,0)(42, 1)/(49,6)
P4+1 = (6,4)(1, 1)(42, 1)/(49,6)
P4 = (6,4)(1,0)(42, 2)/(49,6)

If you observe the pattern, can derive others