If a dice is thrown once ,there are two possible outcomes getting a number greater than 4 as less than equal to 4. Therefore probability of getting a number greater than 4 or less than equal to 4 . Find the probability of getting a number greater than 4.
Answers
Concept Understanding :-
• Probability is simply defined as the chance of occurring or not occuring of events.
• For a number, Probability lie between 0 to 1
0 stands for certain events and 1 is for impossible events. So you can say that it occuring between certain to impossible .
• In mathematical terms ,
Probability can be expressed as
Probability = Favourable outcome / Total outcome
Solution :-
Here,
In the question, It is mentioned that there is a dice which is thrown once .
So,
According to the question it has given that it has two possible outcomes of getting more than 4 or less than 4
Here,
We have to find the probability of getting greater than 4
Let's solve it,
Total outcomes of dice = 1 , 2 , 3 , 4 , 5 , 6 = 6
Favourable outcomes = 5 , 6 = 2
As we know that,
Probability = Favourable outcomes / total outcomes
Therefore,
Probability of getting greater number than 4
= 2 / 6 = 1 / 3
Hence, The probability of getting greater number than 4 is 1/3
We know that sample space S on throwing a dice is S=(1,2,4,5,6)
∴ Total number of cases (possible outcomes) n(S)=6
Event E: Getting a number greater than 4,
E={5,6} Number of favourable gases=n(E)=2
Therefore ,P(E)=n(E)/n(S)=2/6=1/3