Dice probability problems

Questions involving throwing one or more dice (fair or biased) and calculating probabilities of sums, products, differences, or other outcomes.

2 questions

CAIE S1 2017 June Q1
1 A biased die has faces numbered 1 to 6 . The probabilities of the die landing on 1,3 or 5 are each equal to 0.1 . The probabilities of the die landing on 2 or 4 are each equal to 0.2 . The die is thrown twice. Find the probability that the sum of the numbers it lands on is 9 .
Edexcel S1 2004 June Q1
  1. A fair die has six faces numbered \(1,2,2,3,3\) and 3 . The die is rolled twice and the number showing on the uppermost face is recorded each time.
Find the probability that the sum of the two numbers recorded is at least 5 .
(5)