In an trials of a random experiment if an event A occurs m times, event B occurs p times and - Maths - Probability

Question

In an trials of a random experiment if an event A occurs m times,
event B occurs p times and event c occurs r times, s t m+p+r = n
then find the value of:

(a) p (A)
(b) p (B)
(c) p (C)
(d) p (A)+ p (B)+p(C)
(e) p (not c)
(f) p (neither A nor C)
(g) p (bot B and C)

Aditi Jain. · Accepted Answer

Dear Student,In n trials of a random experiment if an event A occurs m times, event B occurs p times and event c occurs r times, s
t   m+p+r = n then1  P(A)=mm+p+r=mn2
 P(B)=pm+p+r=pn3  P(C)=rm+p+r=rn4
 P(A)+P(B)+P(C)=mn+pn+rn=m+p+rn=nn=15
P(not C)=1-P(C)=1-rm+p+r=m+p+r-rm+p+r=m+pm+p+r=m+pnAlso, you are requested to post the remaining parts as separate questions
Regards

In an trials of a random experiment if an event A occurs m times, event B occurs p times and event c occurs r times, s.t m+p+r = n then find the value of: (a) p (A) (b) p (B) (c) p (C) (d) p (A)+ p (B)+p(C) (e) p (not c) (f) p (neither A nor C) (g) p (bot B and C)

In an trials of a random experiment if an event A occurs m times, event B occurs p times and event c occurs r times, s.t m+p+r = n then find the value of:

(a) p (A)
(b) p (B)
(c) p (C)
(d) p (A)+ p (B)+p(C)
(e) p (not c)
(f) p (neither A nor C)
(g) p (bot B and C)