An unbiased die is thrown. What is the probability of getting an even number a multiple of 3
a.A multiple of 2 or 3
b.A number less than 5 divisible by 2.
c.A number greater than 2 divisible by 3.
d.An even number or a multiple of 3
e.An even number and a multiple of 3 f) a number 3 or 4 g) an odd number h) a number less than i) a number greater than 3 j) a number between 3 and 6.
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Answer:
Step-by-step explanation:
S=(1,2,3,4,5,6)
n(S)=6
EventA:Probablity of getting an even no. Multiple of 3
A=(6)
n(A)=1
P(A)=n (A)/n (S)
=1/6
EventB: multiple of 2 or 3
B=(2,3,4,6)
n (B)=4
P (B)=n (B)/n (S)
=4/6
=2/3
EventC:number less than 5 divisible by 2
C=(2,4)
n (C)=2
P (C)=n (C)/n (S)
=2/6
=1/3
EventD:number greater than 2 divisible by 3
D=(3,6)
n (D)=2
P (D)=n (D)/n (S)
=2/6
=1/3
EventE:even number or multiple of 3
E=(2,3,4,6)
n (E)=4
P (E)=n (E)/n (S)
=4/6
=2/3
EventF:a number 3 or 4
F=(3,4)
n (F)=2
P(F)=n (F)/n (S)
=2/6
=1/3
Event G:odd no.
G=(1,3,5)
n (G)=3
P (G)=n (G)/n (S)
=3/6
=1/2
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