Question

There are 10 pennies

Answer 1

Firstly Picking a penny from a bag of 10 pennies, 14 nickels and 6 dimes gives a probability of

`Probability=\frac{\#\text{ of required outcome}}{\text{sample space}}(10)/(10+14+6)=(10)/(30)=(1)/(3)`

Next, picking a nickel out of 14 nickels, now 9 pennies and 6 dimes give a probability of

`(14)/(9+14+6)=(14)/(29)`

Lastly, picking a dime out of 6 dimes, now 9 pennies and 13 nickels give a probability of

`(6)/(9+13+6)=(6)/(28)=(3)/(14)`

Probability of having a penny, nickel and dime in that order is

`(1)/(3)*(14)/(29)*(3)/(14)=(1)/(29)`