Home
Class 12
MATHS
A purse contains 4 copper coins, 3 silve...

A purse contains 4 copper coins, 3 silver coins and the second purse contains 6 copper coins and 2 silver coins. If a coins is taken out of any purse then what is the probability that it is a copper coin.

A

`41//70`

B

`31//70`

C

`27//70`

D

`1//3`

Text Solution

Verified by Experts

The correct Answer is:
A
`P_(1):"4 copper coins 3 silver coins"`
`P_(2):"6 copper coins 4 silver coins"`
E = Event of copper coin
`P(E)=P(P_(1)).P_((E//P_(1)))+P(P_(2)).P(E//P_(2))`
`=(10)/(2)xx(4)/(7)+(1)/(2)xx(6)/(10)`
`=(41)/(70)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A purse contains 4 copper coins,3 silver coins and the second purse contains 6 copper coins and 2 silver coins.If a coins is taken out ony purse then what is the probability that it is a copper coin.

A purse contains 4 copper and 3 silver coins. Another purse contains 6 copper and 2 silver coins. A coin is taken out from any purse, the probability that it is a silver coin, is

A purse contains 2 silver and 4 copper coins. A second purse contains 4 silver and 3 copper cons. If a coin is pulled at random from one of the two purses, what is the probability that it is a silver coin?

A purse contains 3 silver and 6 copper coins a second purse contains 4 silver and 3 copper coins.If a coin is drawn at random from one of the two purses,find the probability that it is a silver coin.