If 3 coins are tossed write the sample space, P is the event of getting no head on the second coin
Answers
Step-by-step explanation:
Given:-
3 coins are tossed
To find:-
If 3 coins are tossed write the sample space, P is the event of getting no head on the second coin
Solution:-
Given that
Number of coins are tossed = 3
We know that
If "n" coins are tossed then the total number of outcomes = 2^n
If 3 coins are tossed then the total number of possible outcomes = 2^3 = 2×2×2=8
The sample space =
{HHH, HTT, THT, TTH, THH, HTH, HHT, TTT }
Where H = Head and T = Tail
Sample space for Possible outcomes for no head on the second coin ={HTT,TTH,HTH,TTT}
Number of favourable outcomes = 4
Total number of possible outcomes = 8
We know that
Probability of an event P(E)
Number of favourable outcomes / Total number of possible outcomes
Probability of getting no head on the second coin = 4/8 = 1/2
Answer:-
Probability of getting no head on the second coin = 1/2
Used formula:-
- If "n" coins are tossed then the total number of outcomes = 2^n
- The set of all outcomes of a trial or a random experiment is called a sample space.
- Probability of an event P(E)
Number of favourable outcomes / Total number of possible outcomes