Arjun and Ayaan each roll one dice, numbered from 1 to 6. If P is the probability that Ayaan gets a higher number than Arjun, then find 24P.
Answers
Given : Arjun and Ayaan each roll one dice, numbered from 1 to 6. P is the probability that Ayaan gets a higher number than Arjun
To find : 24P.
Solution:
Arjun and Ayaan each roll one dice, numbered from 1 to 6.
Total possible ways = 6 * 6 = 36
Ayaan gets a higher number than Arjun,
Arjun Ayaan
1 2 , 3 , 4 ,5 , 6
2 3 , 4 ,5 , 6
3 4 ,5 , 6
4 5 , 6
5 6
Total Ways = 5 + 4 + 3 + 2 + 1 = 15
Probability that Ayaan gets a higher number than Arjun,
= 15/36
= 5/12
24P = 24 (5/12 )
= 10
24P = 10
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