Answer:
P(S or T)= 3/4
Step-by-step explanation:
Given:
S and T are mutually exclusive events
find P(S or T)
P(S or T)= P(S) + P(T)
= 1/3 +5/12
=4+5/12
=9/12
=3/4 !
Answer:
The value of P(S or T) is 3/4.
Step-by-step explanation:
It is given that S and T are mutually exclusive events. It means intersection of S and T is 0.
[tex]S\cap T=0[/tex]
[tex]P(S\cap T)=0[/tex]
We need to find the value of P(S or T). It means we have to find the probability of union of S and T.
[tex]P(S\cup T)=P(S)+P(T)-P(S\cap T)[/tex]
Substitute the given values in the above formula.
[tex]P(S\cup T)=\frac{1}{3}+\frac{5}{12}-(0)[/tex]
[tex]P(S\cup T)=\frac{4+5}{12}[/tex]
[tex]P(S\cup T)=\frac{9}{12}[/tex]
[tex]P(S\cup T)=\frac{3}{4}[/tex]
Therefore the value of P(S or T) is 3/4.
