if p(a)=x/3 and p(abar)=2/5 then find x
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Step-by-step explanation:
Given:-
P(a)=x/3 and P(a bar)=2/5
To find:-
if P(a)=x/3 and P(a bar)=2/5 then ffindthe value of x?
Solution:-
Given that :
P(a) = x/3
P(a bar) = 2/5
We know that
Sum of all probabilities of an event is always equal to 1
=>P(a) + P(a bar) = 1
=>(x/3) + (2/5) = 1
=>x/3 = 1-(2/5)
=>x/3 = (5-2)/5
=>x/3 = 3/5
=>x=(3/5)×3
=>x=(3×3)/5
=>x=9/5
The value of x = 9/5
Answer:-
The value of x for the given problem is 9/5
Used formulae:-
- Probability of an event a occuring is denoted by P(a).
- Probability of an event a not occuring is denoted by P(a bar).
- The sum of all probabilities of an event is always equal to 1.
- P(a) + P(a bar) = 1.
- Probability is developed by Peirre Simon Lapace.
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