When a six faced dice is rolled the probability that the top face number is a perfect square and also a perfect cube is
A) 1/6
B) 1/4
C) 1/3
D) 2/3
Answered Feb 05, 2023
Correct option is (A) 1/6
Possible outcomes are S = {1, 2, 3, 4, 5, 6}
\(\therefore\) n(S) = 6
Number which is a perfect square and a perfect cube is 1. \((\because1^3=1\;\&\;1^2=1)\)
Hence, favourable outcome is n(E) = 1
\(\therefore\) Required probability is P(E) \(=\frac{n(E)}{n(S)}=\frac16.\)
Correct option is A) 1/6
Correct option is: (D) 0.002
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...
C) Both (i) & (iv)
Correct option is (D) 6 When a dice is rolled, then possible outcomes are S = {1, 2, 3, 4, 5, 6}. Hence, total number of possible outcomes are 6.
Correct option is (D) 64 \(64=8^2\) and \(64=4^3\) Thus, 64 is a perfect square and perfect cube number.
Correct option is C) 25
(i) false (ii) true (iii) true
Let the number is = a Cube of number will be = a3 Now, the number is trebled = 3 × a = 3a Cube of new number = (3a)3 = 27a3 Hence, new...
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