Consider the experiment of flipping a balanced coin three times independently. (a) The number of points in the sample space is (A) 2 (B) 6 (C) 8 (b) The probability of getting exactly two heads is (A) 0.125 (B) 0.375 (C) 0.667 (D) 3 (E) 9 (D) 0.333 (E) 0.451 (D) identical (E) None (c) The events 'exactly two heads' and 'exactly three heads' are (A) Independent (B) disjoint (C) equally likely (d) The events 'the first coin is head' and 'the second and the third coins are tails' are (A) Independent (B) disjoint (C) equally likely (D) identical (E) None