A coin has tossed for 3times.
Write the Sample space for it and find possibility of below events.
possibility of coming only T.
Possibility of coming only H or only T.
Possibility of not coming T
Answers
Brief Understanding :-
Probability is defined as the chance of occurring or not occuring of an events.
For a number, Probability lie between 0 to 1 .
Probability for a sure event is 1
Probability for impossible event is 0
In mathmatical terms,
It can be expressed as
Probability
= Favourable outcome / Total outcome .
Solution :-
Here, A coin has tossed 3 times
Therefore,
Sample Space = {( HHH), ( HTH), ( HHT), (TTT), ( THT) , (TTH) , (HTT), (TTH) }
1) Possibility of coming only T
Here, Favourable outcome = 1
[ That is only ( TTT) in this you always get T ]
Total outcome = 8
Therefore,
As we know that ,
Probability
= Favourable outcome / Total outcome
Probability of getting only T = 1 /8
2) Possibility of coming only H
Favourable outcome = 1
[ That is only ( HHH) in this you always get H ]
Total Outcome = 8
Probability of getting only H = 1/8
Possibility of coming only T
Favourable outcome = 1
[ That is only ( TTT) In this you always get T ]
Total outcome = 8
Therefore,
Probability of getting T = 1/8
Now,
Probability of getting Only H or Only T
= 1/8 + 1/8 = 2/8 = 1/4
3) The possibility of not coming T
Here,
Favourable outcome = 1
[ That is ( HHH) In this you never get T ]
Total Outcome = 8
Therefore,
Probability of not getting T = 1/8 
⚽ Correct Question ⚽
A coin has tossed for 3times. Write the Sample space for it and find possibility of below events.
⚽ Step by step explanation ⚽
A coin has tossed 3 times
•°• Sample Space:
{( HHH), ( HTH), ( HHT), (TTT), ( THT) , (TTH) , (HTT), (TTH) }
Formula:
Probability
= Favourable outcome / Total outcome .
⠀⠀⠀⠀⠀⠀⠀⠀⠀
1) Possibility of coming only T
Favourable outcome = 1
[ That is only ( TTT) in this you always get T ]
>Total outcome = 8
Probability
= Favourable outcome / Total outcome
Hence, Probability of getting only T = 1 / 8
⠀⠀⠀⠀⠀⠀⠀⠀⠀
2) Possibility of coming only H
Favourable outcome = 1
[ That is only ( HHH) in this you always get H ]
Total outcomes = 8
Probability of getting only H = 1/8
Possibility of getting only T
Favourable outcome = 1
[ That is ( TTT ) in this you always get T ]
>Total Outcomes = 8
Hence, Probability of getting only T = 1/8
⠀⠀⠀⠀⠀⠀⠀⠀⠀
3) The possibility of not coming T
Favourable outcome = 1
[ That is ( HHH) In this you never get T ]
>Total Outcome = 8
Hence, Probability of not getting T = 1/8
⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀
๑ Points to be remembered ๑
> Probability is defined as the chance of occurring or not occuring of an events.
> For a number, Probability lie between 0 to 1 .
> Probability for a sure event is 1
> Probability for impossible event is 0
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＾∇＾ I HOPE IT'S HELPFUL ＾∇＾