9709 P52 - Nov 2020 - Q1
2999
A fair six-sided die, with faces marked 1, 2, 3, 4, 5, 6, is thrown repeatedly until a 4 is obtained.
(a) Find the probability that obtaining a 4 requires fewer than 6 throws.
On another occasion, the die is thrown 10 times.
(b) Find the probability that a 4 is obtained at least 3 times.
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