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Which of the following arguments are correct and which are not correct ? Give reasons for your answer. 

(i) If two coins are tossed simultaneously there are three possible outcomes – two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is \(\frac{1}{3}\)

(ii) If a die is thrown, there are two possible outcomes — an odd number or an even number. Therefore, the probability of getting an odd number is \(\frac{1}{2}\).

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(i) Possible outcomes, if two coins are tossed simultaneously: HH, TT, HT, TH. 

∴ n(S) = 4 

Out of these possibility of getting 2 heads : 1 ➝ HH 

∴ n(A) = 1

Out of these possibility of getting Tail : 1 ➝ TT 

∴ n(B) = 1 n(B) = 1

Out of these possibility of getting Head or Tail : 2 ➝ HT, TH 

∴ n(C) = 2

∴ This Argument (i) is not correct. 

(ii) Outcomes when one die is thrown: 1, 2, 3, 4, 5, 6 

∴ n(S) = 6 

Out of these, one is odd number ➝ 1, 3, 5 

∴ n(E) = 3

Out of these, one is even number ➝ 2, 4, 6 

∴ n(E) = 3

∴ This Argument (ii) is correct.

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