Ans. (1) 11A 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? (iii) Are B and C collectively exhaustive events?

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Solve Q11

Ans: (i) Mutually exclusive
(ii) Equally likely (iii) No (iv) No
ents, If a card is drawn at random from a full deck, find the following
probabilities
(i) P(A)
(ii) P(A n B)
(iii) P(AUB)
(iv) P(A n B) (v) P(A U B)
(v) 43/52
(iv) 5/26
11 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.
G). Are B and C mutually exclusive events?
(i)
(ii) Are A and B equally likely events?
(iii) Are B and C collectively exhaustive events?
Ans: (i) Yes (ii) Yes (iii) Yes
Q.12 A die is thrown. Consider the following events:
Let A =
even number occurs
B =
prime number occurs
%3D
D.
= number is divisible by 5
%3D
C
odd number occurs
%3D
(i) Are A and B equally likely events?
(ii) Are A and B mutually exclusive events?
(1ii) Are A and C mutually exclusive events?
İY Are A and C collectively exhaustive events?
Ans: (i) exclusive
Q.11A coin is tossed Let A be that at one tail B be
and which are compound?
Transcribed Image Text:Ans: (i) Mutually exclusive (ii) Equally likely (iii) No (iv) No ents, If a card is drawn at random from a full deck, find the following probabilities (i) P(A) (ii) P(A n B) (iii) P(AUB) (iv) P(A n B) (v) P(A U B) (v) 43/52 (iv) 5/26 11 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. G). Are B and C mutually exclusive events? (i) (ii) Are A and B equally likely events? (iii) Are B and C collectively exhaustive events? Ans: (i) Yes (ii) Yes (iii) Yes Q.12 A die is thrown. Consider the following events: Let A = even number occurs B = prime number occurs %3D D. = number is divisible by 5 %3D C odd number occurs %3D (i) Are A and B equally likely events? (ii) Are A and B mutually exclusive events? (1ii) Are A and C mutually exclusive events? İY Are A and C collectively exhaustive events? Ans: (i) exclusive Q.11A coin is tossed Let A be that at one tail B be and which are compound?
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