(i) Primes 7 and 11 give 8 pairs, P = 8/36 = 2/9. (ii) P(different) = 1 – P(same) = 1 – 13/36 = 23/36. (iii) Favourable outcomes {HHT, HTH}, P = 2/8 = 1/4. (iv) Last digit 2 or 4, P = ...
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For two dice, maximum sum is 12. An event with probability 0 is getting a sum of 13. An outcome or event with probability 1 is getting a sum between 2 and 12.
The number of neutrons equals 197 minus 79, which is 118. In an electrically neutral atom, the number of electrons equals the number of protons, so there are 79 electrons.
Total balls initially equal 9, reducing to 8 on the second draw without replacement. (i) P(Red then Blue) = (4/9) x (5/8) = 20/72 = 5/18. (ii) P(2 Blue) = (5/9) x (4/8) = 20/72 = 5/18.
Sample space has 8 numbers {1, 2, 3, 4, 5, 6, 7, 8}. The probabilities are: (i) P(8) = 1/8, (ii) P(odd) = 4/8 = 1/2, (iii) P(>2) = 6/8 = 3/4, (iv) P(<9) = 8/8 = 1, (v) P(multiple ...