Q.10 Let A denotes a card of heart, B a faced card. A and B are their complementary events. If a card is drawn at random from a full deck, find the following probabilities (i) P(A) Ans. (i) 1/4 (ii) 3/52 (ii) 11/26 (iii) P(AUB) (iv) 5/26 (iv) P(A n B) (v) 43/52 thot at least, one tail appears, B be (ii) P(A n B) (v) P(A U B)

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Chapter1: Starting With Matlab
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[Chapter
0.9 A card is selected at random from a well shuffled deck of 52 playing cards.
Consider the following events:
Let A = Ace card
Show that A and B are mutually exclusive events
B Face card
C King card
(i)
(ii) Show that A and C are equally likely events
(iii) Are B and C mutually exclusive events?
(iv) Are B and C equally likely events?
Ans: (i) Mutually exclusive (ii) Equally likely (iii) No (iv) No
Q.10 Let A denotes a card of heart, B a faced card. A and B are their complementary
events. If a card is drawn at random from a full deck, find the following
probabilities
(iv) P(A n B) (v) P(A U B)
(v) 43/52
(iii) P(AUB)
(i) P(A)
Ans. (i) 1/4 (ii) 3/52 (iii) 11/26 (iv) 5/26
Q.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.
(ii) P(A n B)
Are B and C mutually exclusive events?
(i)
Are A and B equally likely events?
(ii)
(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:
B = prime number occurs
cours
Transcribed Image Text:[Chapter 0.9 A card is selected at random from a well shuffled deck of 52 playing cards. Consider the following events: Let A = Ace card Show that A and B are mutually exclusive events B Face card C King card (i) (ii) Show that A and C are equally likely events (iii) Are B and C mutually exclusive events? (iv) Are B and C equally likely events? Ans: (i) Mutually exclusive (ii) Equally likely (iii) No (iv) No Q.10 Let A denotes a card of heart, B a faced card. A and B are their complementary events. If a card is drawn at random from a full deck, find the following probabilities (iv) P(A n B) (v) P(A U B) (v) 43/52 (iii) P(AUB) (i) P(A) Ans. (i) 1/4 (ii) 3/52 (iii) 11/26 (iv) 5/26 Q.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. (ii) P(A n B) Are B and C mutually exclusive events? (i) Are A and B equally likely events? (ii) (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: B = prime number occurs cours
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