Events `Aa n dC` are independent. If the probabilities relating `A ,B ,a n dC` are `P(A)=1//5, P(B)=1//6; P(AnnC)=1//20 ; P(BuuC)=3//8.` Then events `Ba n dC` are independent events `Ba n dC` are mutually exclusive events `Ba n dC` are neither independent nor mutually exclusive events `Ba n dC` are equiprobable

Options

A. events B and C are independent
B. events B and C are mutually exclusive
C. events B and C are neiter independent nor mutually exclusive
D. events B and C are equiprobabile

Answer

A

Explanation

`P(AnnC)=P(A)P(C)`
`or1/20=1/5P(C)`
`orP(C)=1/4`
Now, `P(BuuC)=1/6+1/4-P(BnnC)`
`P(BnnC)=5/12-3/8=1/24P(BnnC)`
Therefore, B and C aer independent.