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Maths Project
Made by Mohd Qasim and others
help
How likely something is going to happen?
Many events can’t be predicted with total certainty. The best we can say is how likely
they are to happen, using the idea of Probability
Probability in general can be represented as:-
No of ways it can happen
Probability of an even happening = --------------------------------------
Total no of outcomes
Probability can be shown on a line as follows:
Impossible Unlikely Ever Chance Likely Certain
0 1
Probability is always between 0 & 1
To understand efficient precautions, you first need to understand the idea of an expected
benefit. This is not difficult since we actually use this idea all the time in our daily
lives. Consider this example.
You want two incompatible things: you want to go to law school in the Fall, and you
also want to retire to the woods in the Fall and write your first novel and have it be a
great success. You want to be a successful novelist much more than you want to
graduate from law school. Your only problem is that you know you really have no
literary talent at all, and that it is very unlikely that you would succeed in writing a
successful novel; on the other hand, you have all the skills necessary to do well in law
school, and it is highly likely that you will not only graduate, but graduate with
honors. To make a rational decision about whether to go to law school or try to
write the novel, you would
WHILE
CROSSING
ROAD
birthday paradox formula;
probability
{some one sharing birthday with
someone else}
=1-365pr/365
------------------------
r
where r = no of people in a group
=no . of people in a group .
so if 50are there in a group
:1-365Pr/365
------------------- =970.
50
EXPERIMENTAL
PROPERTY
SR. NO. NAME STD DATE OF BIRTH MONTH PAIRS SHARING SAME
BIRTH DAY
1 MANIKA 7 9 3
2 YOUVNA 7 11 1
3 MOHAMMED 7 17 1
4 SHIVANGI 8 14 1
5 PUNEET 7 2 2
6 RIYA 7 20 2
7 SNEHA 8 24 2
8 ANUSHKA 8 28 2
9
DHRUMI 8 19 2 #
10 KARENA 8 22 2
11
ISHAAN JOLLY 8 19 2 #
12 MOHAMMED 8 9 2
13 BUSHRA 7 17 6
14 KARAN 7 24 6
15 SARAH 7 1 7
16 HARSHISH 7 24 7
17 MOIZ 7 18 7
18 KASHISH 8 30 7
19 ADITI MISHRA 8 26 7 $
20 VISHWA 8 26 7 $
21 SIDDESH 8 20 7 %
22 KABIR 8 20 7 %
23 ALI 7 3 8
24 SHREYA 8 30 8
25 SAKSHI 8 21 8
26 SOMESH 8 12 8
27 ANMOL 8 5 8
28 SARTHAK 8 10 8
29 VICKIN 8 22 8
30 NIDHI 7 5 9
31 SHREYAS 7 18 9
32 TISHA 8 17 9
33 DHRUVI 7 26 10
34 RIYA 7 21 10
35 SHLOK 7 28 10
36 STUTI 7 3 10
37 ADITI.B 8 18 10
38 PRIETY 8 10 10
39 FARZEEN 7 29 11
40 SANIA 7 17 11
41 PRIYAL 7 21 11
42 PRATYUSH 7 22 11
43 PRERONA 8 24 11
44 HIMANGI 7 6 12
45 JAISHREE 7 18 12
46 RYYAN 7 7 12
47 ROSHAN 7 5 12 !
48 DIYA 8 5 12 !
49 PEARLYN 8 5 4 @
50 EKTA 8 5 4 @
PROBABILITY% = NO. OF PEOPLE
SHARING SAME DAYS X 100
TOTAL NO.
OF PEOPLE
= 10 X 100 =
50
i] DECIMAL = 20.00
50
ii]FRACTION = 20
III)PERCENTAGE= 20%
Maths project
Maths project
Maths project

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Maths project

  • 1. Maths Project Made by Mohd Qasim and others help
  • 2.
  • 3. How likely something is going to happen? Many events can’t be predicted with total certainty. The best we can say is how likely they are to happen, using the idea of Probability Probability in general can be represented as:- No of ways it can happen Probability of an even happening = -------------------------------------- Total no of outcomes Probability can be shown on a line as follows: Impossible Unlikely Ever Chance Likely Certain 0 1 Probability is always between 0 & 1
  • 4.
  • 5.
  • 6.
  • 7. To understand efficient precautions, you first need to understand the idea of an expected benefit. This is not difficult since we actually use this idea all the time in our daily lives. Consider this example. You want two incompatible things: you want to go to law school in the Fall, and you also want to retire to the woods in the Fall and write your first novel and have it be a great success. You want to be a successful novelist much more than you want to graduate from law school. Your only problem is that you know you really have no literary talent at all, and that it is very unlikely that you would succeed in writing a successful novel; on the other hand, you have all the skills necessary to do well in law school, and it is highly likely that you will not only graduate, but graduate with honors. To make a rational decision about whether to go to law school or try to write the novel, you would
  • 9.
  • 10.
  • 11. birthday paradox formula; probability {some one sharing birthday with someone else} =1-365pr/365 ------------------------ r where r = no of people in a group =no . of people in a group . so if 50are there in a group :1-365Pr/365 ------------------- =970. 50
  • 13. SR. NO. NAME STD DATE OF BIRTH MONTH PAIRS SHARING SAME BIRTH DAY 1 MANIKA 7 9 3 2 YOUVNA 7 11 1 3 MOHAMMED 7 17 1 4 SHIVANGI 8 14 1 5 PUNEET 7 2 2 6 RIYA 7 20 2 7 SNEHA 8 24 2 8 ANUSHKA 8 28 2 9 DHRUMI 8 19 2 # 10 KARENA 8 22 2 11 ISHAAN JOLLY 8 19 2 # 12 MOHAMMED 8 9 2 13 BUSHRA 7 17 6 14 KARAN 7 24 6 15 SARAH 7 1 7 16 HARSHISH 7 24 7 17 MOIZ 7 18 7 18 KASHISH 8 30 7 19 ADITI MISHRA 8 26 7 $ 20 VISHWA 8 26 7 $ 21 SIDDESH 8 20 7 % 22 KABIR 8 20 7 % 23 ALI 7 3 8 24 SHREYA 8 30 8
  • 14. 25 SAKSHI 8 21 8 26 SOMESH 8 12 8 27 ANMOL 8 5 8 28 SARTHAK 8 10 8 29 VICKIN 8 22 8 30 NIDHI 7 5 9 31 SHREYAS 7 18 9 32 TISHA 8 17 9 33 DHRUVI 7 26 10 34 RIYA 7 21 10 35 SHLOK 7 28 10 36 STUTI 7 3 10 37 ADITI.B 8 18 10 38 PRIETY 8 10 10 39 FARZEEN 7 29 11 40 SANIA 7 17 11 41 PRIYAL 7 21 11 42 PRATYUSH 7 22 11 43 PRERONA 8 24 11 44 HIMANGI 7 6 12 45 JAISHREE 7 18 12 46 RYYAN 7 7 12 47 ROSHAN 7 5 12 ! 48 DIYA 8 5 12 ! 49 PEARLYN 8 5 4 @ 50 EKTA 8 5 4 @
  • 15. PROBABILITY% = NO. OF PEOPLE SHARING SAME DAYS X 100 TOTAL NO. OF PEOPLE = 10 X 100 = 50 i] DECIMAL = 20.00 50 ii]FRACTION = 20 III)PERCENTAGE= 20%