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Questions Pg-73, , Question 1., , Rajani has three necklaces and three pairs of earrings, of green, blue and red stones., In what all different ways can she wear them? What is the probability of her wearing, the necklace and earrings of the same colour? Of different colours?, , Answer:, , Let the necklace and earrings of different stone be denoted by G, B and R for green,, blue and red stones respectively., , Now,, , Make pairs of necklace and earring like (necklace, earing), Pairs are:, , (G, G), (B, G), (R, G), , (G, B), (B, B), (R, B), , (G, R), (B, R), (R, R), , Total number of pairs =9, , Pairs having the same colour = 3, , Probability of having same colour necklace and earing, , Pairs having the same colour, ~ Total number of pairs, , ll, wlw, ll, wile

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Question 2., , A box contains four slips numbered 1, 2, 3, 4 and another box contains two slips, numbered 1, 2. If one slip is taken from each, what is the probability of the sum of, numbers being odd? What is the probability of the sum being even?, , Answer:, , Let box 1 contains slip numbered 1, 2, 3 and 4 and box 2 contains slips numbered 1, and 2., , Let make pair of outcome from different boxes, , i.e. (outcome of box 1, outcome of box 2), , Outcomes:, , (1, 1), (2, 1), (3, 1), (4, 1), , (1, 2), (2, 2), (3, 2), (4, 2), , Total number of outcomes = 8, , Outcomes having sum of the numbers as odd = 4, , Outcomes having sum of the numbers as even = 4

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Probability of the sum of numbers being even, , Outcomes having the sum as even, "Total number of outcomes, , COlp, Nile, , =05, , Question 3., , A box contains four slips numbered 1, 2, 3, 4 and another contains three slips, numbered 1, 2, 3. If one slip is taken from each, what is the probability of the product, being odd? The probability of the product being even?, , Answer:, , Let box 1 contains slip numbered 1, 2, 3 and 4 and box 2 contains slips numbered 1, 2, and 3., , Let make pair of outcome from different boxes, , i.e. (outcome of box 1, outcome of box 2), , Outcomes:, , (1, 1), (2, 1), (3, 1), (4, 1), , (1, 2), (2, 2), (3, 2), (4, 2), , (1, 3), (2, 3), (3, 3) (4, 3)

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Total number of outcomes = 12, , Outcomes having product of the numbers as odd = 4, Outcomes having product of the numbers as even = 8, Probability of the product of numbers being odd, , __ Outcomes having the product as odd, - Total number of outcomes, , , , wole, , 4, 12, , Probability of the product of numbers being even, , Outcomes having the product as even, Total number of outcomes, , , , Ml, wlr, , Bl ©

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Question 4., , From all two-digit numbers with either digit 1, 2, or 3 one number is chosen., i) What Is the probability of both digits being the same?, , ii) What is the probability of the sum of the digits being 4?, , Answer:, , Sample space:, , 11, 12),13, , 21, 22,23:, , 31, 32,33, , i Total number of numbers formed = 9, , Total number of numbers having same digit = 3, Probability of both digits being the same, , _ Total number of numbers having same digit, Total number of numbers formed, , , , ll, wl w, ll, wle