61 - 62 of 62 Questions
# | Question | Ans |
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61. |
If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6 A. \(\frac{5}{8}\) B. \(\frac{5}{16}\) C. \(\frac{1}{2}\) D. \(\frac{3}{8}\) Detailed SolutionThe numbers that are not greater than 6 are either less than 6 or equal to 6.P(picking a number not greater than 6) = \(\frac{10}{16}\) = \(\frac{5}{8}\) There is an explanation video available below. |
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62. |
If \(N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}\), find \(|N|\). A. 65 B. 23 C. 17 D. 91 Detailed Solution\(\begin{vmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{vmatrix}\)= \(3(-3 - (-10)) - 5(6 - 10) + (-4)(12 - 6)\) = \(21 + 20 - 24\) = 17 There is an explanation video available below. |
61. |
If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6 A. \(\frac{5}{8}\) B. \(\frac{5}{16}\) C. \(\frac{1}{2}\) D. \(\frac{3}{8}\) Detailed SolutionThe numbers that are not greater than 6 are either less than 6 or equal to 6.P(picking a number not greater than 6) = \(\frac{10}{16}\) = \(\frac{5}{8}\) There is an explanation video available below. |
62. |
If \(N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}\), find \(|N|\). A. 65 B. 23 C. 17 D. 91 Detailed Solution\(\begin{vmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{vmatrix}\)= \(3(-3 - (-10)) - 5(6 - 10) + (-4)(12 - 6)\) = \(21 + 20 - 24\) = 17 There is an explanation video available below. |