Question 1 - A-Level Maths

Exam Board	CAIE
Module	S1 (Statistics 1)
Year	2020
Session	November
Topic	Geometric Distribution
Type	Geometric then binomial separate scenarios

1 A fair six-sided die, with faces marked \(1,2,3,4,5,6\), is thrown repeatedly until a 4 is obtained.

Find the probability that obtaining a 4 requires fewer than 6 throws.
On another occasion, the die is thrown 10 times.
Find the probability that a 4 is obtained at least 3 times.