0.12 A die is thrown. Consider the following events: Let A even number occurs prime number occurs number is divisible by 5 %3D %3D C odd number occurs D %3D Are A and B equally likely events? (i) (ii) Are A and B mutually exclusive events? (iii) Are A and C mutually exclusive events? (iv) Are A and C collectively exhaustive events? f the above events are simple and which are compound?

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Solve Q12

(ii) P(A n B)
(i) P(A)
(iii) P(AUB)
(iv) P(A n B)
(v) 43/52
(v) P(A U B)
(iv) 5/26
A A coin is tossed twice. Let A be the event that at least one tail appears, B be
the event that at most one tail appears and C be the event that exactly two
tails appear.
Are B and C mutually exclusive events?
(i)
(ii) Are A and B equally likely events?
(ii) Are B and C collectively exhaustive events?
Ans: (i) Yes (ii) Yes (iii) Yes
0.12 A die is thrown. Consider the following events:
Let A =
even number occurs
B = prime number occurs
odd number occurs
D =
number is divisible by 5
C%3D
%3D
(i) Are A and B equally likely events?
(ii) Are A and B mutually exclusive events?
(iii) Are A and C mutually exclusive events?
(iv) Are A and C collectively exhaustive events?
(v) Which of the above events are simple and which are compound?
Ans: (i) Yes
(ii) No
(iii) Yes
(iv) Yes
%3D
(v) Simple event = D and compound events A, B and C.
Q.13 Two dice are thrown once. The following events are defined:
B = sum of spots is 8
A sum of spots is 6
D3D
D = different numbers appear
%3D
C = same numbers appear
%3D
llu exclusive events?
Transcribed Image Text:(ii) P(A n B) (i) P(A) (iii) P(AUB) (iv) P(A n B) (v) 43/52 (v) P(A U B) (iv) 5/26 A A coin is tossed twice. Let A be the event that at least one tail appears, B be the event that at most one tail appears and C be the event that exactly two tails appear. Are B and C mutually exclusive events? (i) (ii) Are A and B equally likely events? (ii) Are B and C collectively exhaustive events? Ans: (i) Yes (ii) Yes (iii) Yes 0.12 A die is thrown. Consider the following events: Let A = even number occurs B = prime number occurs odd number occurs D = number is divisible by 5 C%3D %3D (i) Are A and B equally likely events? (ii) Are A and B mutually exclusive events? (iii) Are A and C mutually exclusive events? (iv) Are A and C collectively exhaustive events? (v) Which of the above events are simple and which are compound? Ans: (i) Yes (ii) No (iii) Yes (iv) Yes %3D (v) Simple event = D and compound events A, B and C. Q.13 Two dice are thrown once. The following events are defined: B = sum of spots is 8 A sum of spots is 6 D3D D = different numbers appear %3D C = same numbers appear %3D llu exclusive events?
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