[Chapter 7 Q.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 (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? tually exclusive B = Face card C = King card (ii) Equally likely (iii) No (iv) No

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Solve Q9

Consider the following events:
325
A card is selected at random from a well shuffled deck of 52 playing cards.
Let A Ace card
Show that A and B are mutually exclusive events
%3D
B = Face card
C = King card
(i)
Gi) 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
0.10 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)
(iii) P(AUB)
(iv) 5/26
(ii) P(A n B)
(i) P(A)
Ans. (i) 1/4 (ii) 3/52 (iii) 11/26
(v) 43/52
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.
(i) Are B and C mutually exclusive events?
11 Are A and B equally likely events?
rhaustive events?
Transcribed Image Text:Consider the following events: 325 A card is selected at random from a well shuffled deck of 52 playing cards. Let A Ace card Show that A and B are mutually exclusive events %3D B = Face card C = King card (i) Gi) 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 0.10 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) (iii) P(AUB) (iv) 5/26 (ii) P(A n B) (i) P(A) Ans. (i) 1/4 (ii) 3/52 (iii) 11/26 (v) 43/52 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. (i) Are B and C mutually exclusive events? 11 Are A and B equally likely events? rhaustive events?
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