Question

one coin is randomly selected from a jar containing 70 nickels 100 dimes, 80 quarters & 50 one dollar coine fine the probabilty of a quarter OR a nickel?

Answer 1

the probability of selecting a quarter or a nickel is 0.495 or 49.5%.

Explanation:

The probability of selecting a quarter or a nickel can be found by adding the probability of selecting a quarter to the probability of selecting a nickel. Since the coins are chosen randomly, the probability of selecting a coin from the jar is the number of coins of that type divided by the total number of coins in the jar.

So, the probability of selecting a quarter is:

P(quarter) = number of quarters / total number of coins

P(quarter) = 80 / (70 + 100 + 80 + 50)

P(quarter) = 0.32

Similarly, the probability of selecting a nickel is:

P(nickel) = number of nickels / total number of coins

P(nickel) = 70 / (70 + 100 + 80 + 50)

P(nickel) = 0.175

To find the probability of selecting a quarter or a nickel, we add these probabilities:

P(quarter or nickel) = P(quarter) + P(nickel)

P(quarter or nickel) = 0.32 + 0.175

P(quarter or nickel) = 0.495

Therefore, the probability of selecting a quarter or a nickel is 0.495 or 49.5%.