Ans. 1/4 Q.22 Two fair coins are tossed. Let A denote the event "both faces are heads" and B denote the event "only one face is head". Are A and B disjoint events. Evaluate P(A U B). Ans, Yes, 3/4 from the first 200 positive integers. What is the

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Solve Q22

Ans. (i) 24/210
(ii) 13/14
(iii) 2/5
Q.17 An urn contains 8 red, 3 white and 2 blue balls. If 3 balls are drawn at random.
determine the probability that (i) all 3.are red (ii) all 3 are white (iii) 2 are red
and 1 is blue (iv) at least one is white (v) the balls are drawn in the order, red,
white and blue.
Ans. (i) 28/143
(ii) 1/286
(iii), 28/143
Q.18 Six cards are drawn at random from a deck of 52 cards. What is the probability
(iv) 83/143 (v) 4/143
that 3 are red and 3 are black?
Ans. 0.332
Com
Q.19 If the probability of a horse A winning a race is 1/5 and that of a horse B is
1/6, what is the probability that one of them wins?
(1)
Ans. 11/30
(iv)
Q.20 A coin and a die are thrown together. Find the chance of throwing a head and 5
(vi
or a tail and 6.
Ans. 1/6
(x
Q.21 What is the probability of throwing either 7 or more than 10 with two dice?
ns:
Ans. 1/4
Q.22 Two fair coins are tossed. Let A denote the event "both faces are heads" and B
denote the event "only one face is head". Are A and B disjoint events. Evaluate
P(A U B).
Ans, Yes, 3/4
Q.23 An integer is chosen at random from the first 200 positive integers. What is the
probability that the integer chosen is divisible by 6 or 8?
Ans. 1/4
(4)
Transcribed Image Text:Ans. (i) 24/210 (ii) 13/14 (iii) 2/5 Q.17 An urn contains 8 red, 3 white and 2 blue balls. If 3 balls are drawn at random. determine the probability that (i) all 3.are red (ii) all 3 are white (iii) 2 are red and 1 is blue (iv) at least one is white (v) the balls are drawn in the order, red, white and blue. Ans. (i) 28/143 (ii) 1/286 (iii), 28/143 Q.18 Six cards are drawn at random from a deck of 52 cards. What is the probability (iv) 83/143 (v) 4/143 that 3 are red and 3 are black? Ans. 0.332 Com Q.19 If the probability of a horse A winning a race is 1/5 and that of a horse B is 1/6, what is the probability that one of them wins? (1) Ans. 11/30 (iv) Q.20 A coin and a die are thrown together. Find the chance of throwing a head and 5 (vi or a tail and 6. Ans. 1/6 (x Q.21 What is the probability of throwing either 7 or more than 10 with two dice? ns: Ans. 1/4 Q.22 Two fair coins are tossed. Let A denote the event "both faces are heads" and B denote the event "only one face is head". Are A and B disjoint events. Evaluate P(A U B). Ans, Yes, 3/4 Q.23 An integer is chosen at random from the first 200 positive integers. What is the probability that the integer chosen is divisible by 6 or 8? Ans. 1/4 (4)
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