The sample space of a random experiment is {a, b, c, d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2, respectively. let a denote the event {a, b, c}, and let b denote the event {c, d, e}. determine the following:
(a) p(a)
(b) p(b)
(c) p(a’)
(d) p(aub)
(e) p(anb)

a) 0.4

b) 0.8

c) 0.6

d) 1

e) 0.2

Step-by-step explanation:

a)P(A) = P({a,b,c}) = 0.1 + 0.1 + 0.2 = 0.4

b) P(B) = P({c,d,e}) = 0.2 + 0.4 + 0.2 = 0.8

c) P(A') = 1 - P(A) = 1 - 0.4 = 0.6

d) P(AUB) = P({a,b,c}U{c,d,e}) = P({a,b,c,d,e}) = 0.1 + 0.1 + 0.2 + 0.4 + 0.2 = 1

e) P(AnB) = P({a,b,c}n{c,d,e}) = P({e}) = 0.2

answer: options

step-by-step explanation:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )