Sum of probabilities of getting an even number and an odd number when a die is rolled is
A) 1/2
B) 1/6
C) 1/3
D) 1
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In a single throw of two dice, find the probability of (i) getting a sum less than 6 (ii) getting a doublet of odd numbers (iii) getting the sum as a
Correct Answer - `(i) 5/18 (ii) 1/12 (iii) 5/12`
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In a single throw of two dice, find (i) P (an odd number on the first die and a 6 on the second) (ii) P (a number greater than 3 on each die) (iii) P
Correct Answer - `(i) 1/12 (ii) 1/4 (iii) 1/12 (iv) 5/18 (v) 1/6`
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There are three odd numbers and one even number. What type of number is their sum ?
Correct option is (D) Odd number Sum of three odd numbers is odd. Sum of an odd number and an even number is odd. \(\therefore\) Sum of three odd numbers and one even number is odd.
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There are three odd numbers and one even number. What type of number is their sum ?
2 Answers
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When a die is thrown, getting a number more than 6 is
Correct option is (D) impossible Possible outcome when a die is thrown are 1, 2, 3, 4, 5 and 6. Hence, favourable outcome of event of getting a number more than 6...
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Sum of the probabilities of getting a head and a tail when an unbiased coin is tossed is
Correct option is (C) 1 When an unbiased coin is tossed then possible outcomes are S = {H, T}. \(\therefore\) P(H) = \(\frac12\) & P(T) \(=\frac12\) \(\therefore\) P(H) + P(T) \(=\frac12+\frac12=1\) Hence, sum of probabilities of getting a head...
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Sum of the probabilities of getting a head and a tail when an unbiased coin is tossed is
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Sum of probabilities of getting an even number and an odd number when a die is rolled is
Correct option is (D) 1 Possible outcomes when a die is rolled are S = {1, 2, 3, 4, 5, 6}. \(\therefore\) Total outcomes is n(S) = 6 E = Event of getting an even...
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i) Getting 7 on the top when a dice is rolled ii) Getting head on the top while tossing a coin
C) Both (i) & (iv)
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Use the definition of Odd and Even functions to determine whether each of the following functions is Odd, Even, or neither. Must show your work for credit II! 1) \( f(x)=\frac{x}{1-x^{3}} \) 2) \( f(x)=\frac{x^{2}}{1+x} \) 3) \( \quad f(x)=x-|x| \)
(1) f(x) = \(\frac{x}{1-x^3}\) f(-x) = \(\frac{-x}{1-(-x)^3}\) = \(\frac{-x}{1+x^3}\) ≠ -f(x) or f(x) ∴ f(x) is neither even nor odd function. (2) f(x) = \(\frac{x^2}{1+x}\) ∴ f(-x) = \(\frac{(-x^2)}{1+(-x)}\) = \(\frac{x^2}{1-x}\) ≠ -f(x) or f(x). (3) f(x) = x-|x| ∴ f(-x) = -x-|-x| = -x-|x| = -(x+|x|) ≠ -f(x)...
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