Random experiment
The results can be occurred in random way or can’t be expected in advance
before going to do particular experiment.
For example
Flip a fair coin, then results are known such as ‘head’ and ‘tail’ b
...
Random experiment
The results can be occurred in random way or can’t be expected in advance
before going to do particular experiment.
For example
Flip a fair coin, then results are known such as ‘head’ and ‘tail’ but we
cannot expect which result will happen.
Roll a die once, then results are known such 6 faces but we cannot
expect which result will happen.
However we can expect the chance to get some desired outcome from any
trail
Sample space
The total number of possible outcomes from any trail is called Sample space.
This is denoted by ‘S’
For example
1. Flip a coin then its sample space S ={H, T} = 2
2. Roll a die, then its sample space
S = {1, 2, 3, 4, 5, 6} = 36
3. If a card is drawn is from 52 shuffled pack of cards, then its sample
space
S = {26 Black, 26 Red} or {Spade, club, heart and diamond} = 52
4. If a student is assigned to particular homework in a week, then that
student can do that homework from the possible chances are
S = {MON, TUE, WED, THU, FRI, SAT and SUN}
Event
The set of desired outcomes in a sample space is called the event. Usually it
is donated by ‘E’
For example
1. If you want to get a head from a coin flipping, then its desired event E
= {H} = 1
2. If you want to get even number from a die rolling, then its desired
event
E = {2, 4, 6} = 3
3. If you want to get diamond card for the picking a card from 52 shuffled
pack of cards, then its desired event E = {13Diamonds} = 13
Probability of any desired outcome
Probability of any desired outcome is defined as the number of possible
desired outcomes over total number of possible outcomes.
For example
What is the probability of getting one head when we flip two coins?
Explanation
Total number of possible outcomes S = {HH, HT, TH, TT} = 4
Number of possible desired outcomes E = {HT, TH} = 2
Therefore the probability of getting one head = 2/4 = ½
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