20.
biased tetrahedral die with faces labelled 1, 2, 3 and 4 is rolled once.
The chance of getting a 3' is twice that of getting a '1'. The chance of getting
a 2' is thrice that of getting a '3'. There is an equal chance of getting a '2' and a
'4'. Find the probability of getting a prime number.
Answers
Given : The chance of getting a 3' is twice that of getting a '1'. The chance of getting a 2' is thrice that of getting a '3'. There is an equal chance of getting a '2' and a '4'.
To find : probability of getting a prime number.
Solution:
Let say Probability of getting 2 & 4 Each = 6P
The chance of getting a 2' is thrice that of getting a '3'
=> Probability of getting 3 = 6P/3 = 2P
The chance of getting a 3' is twice that of getting a '1'.
=> Probability of getting 1 = 2P/2 = P
P + 2P + 6P + 6P = 15P = 1
=> P = 1/15
probability of getting a prime number.
Prime numbers 2 & 3
6P + 2P = 8P = 8/15
8/15 is the probability of getting a prime number.
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