Question

a coin is taken at random froma purse that contains one penny, 2 nickels, 4 dimes, and 3 quarters. let x be the value of the drawn coin. find the average value of x if we repeat the first draw many times

Answer 1

x = 12.6 pennies

Explanation:

total number of coins = 1 + 2+ 4 + 3 = 10 coins

P(penny) =
`(1)/(10)`

P(nickels) =
`(2)/(10)`

P(dimes) =
`(4)/(10)`

P(quarters) =
`(3)/(10)`

hence average value of the coin

x = Penny x P(Penny) + nickel x P(nickel) + dimes x P(dimes) + quarters x P(quarters)

nickels = 5 pennies dimes = 10 ; and quarters = 25 pennies

`x = 1 * (1)/(10) + 5* (2)/(10) +10* (4)/(10) +  25* (3)/(10)`

x = 0.1 + 1 + 4 + 7.5

x = 12.6 pennies

hence, the average pennies for the first draw is equal to x = 12.6 pennies