Final answer:
The experimental probability of finding a dime in Jan's coin jar is found by dividing the number of dimes (46) by the total number of coins (238). After calculating, the result is multiplied by 100 to get a percentage, which gives us approximately 19.33%, rounded to 19%.
Step-by-step explanation:
To find the experimental probability of Jan finding a dime in the coin jar, we use the formula for experimental probability, which is the number of times the event occurs divided by the total number of trials.
In this case, the event is Jan finding a dime, and the trials are the total number of coins.
We are given that there are 46 dimes and the total number of coins is the sum of pennies, nickels, dimes, and quarters: 124 + 52 + 46 + 16 = 238 coins.
The experimental probability, P(Dime), is calculated as:
P(Dime) = Number of Dimes / Total Number of Coins = 46 / 238
To express this probability as a percentage, we multiply it by 100:
((46 / 238) * 100) which approximately equals 19.33%, rounded to the nearest percent, gives us 19%.