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Rahul and Divya were playing the snakes and ladders board game. Each one had their own dice to play…

Mathematics20254 marksLong answer
Rahul and Divya were playing the snakes and ladders board game. Each one had their own dice to play the game. Rahul was using a red dice, whereas Divya was using a black dice. In the beginning of the game, they were using their own dice to play. After some time, in order to play the game faster they both started using both the dice together for playing. When Divya rolled both red and black dice together then:
(a)
find the conditional probability of obtaining sum greater than 9, given that black dice resulted in a 5.
(b)
find the conditional probability that sum of the number on the dice is not 4, given that the numbers on the both the dice are different.

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Probability

From ISC 2025 Practice Mathematics, question 109.