Answer
Option D is the only true statement.
If he grabs 4 random coins to take out at once, he should expect about 1 of them to be a nickel.
Explanation
The probability of an event is calculated as the number of elements in the event divided by the total number of elements in the sample space.
Total number of coins = 4 + 2 + 5 + 9 = 20
Option A
Number of quarters = 4
Probability of picking out a quarter = (4/20) = 0.20
1 in 8 coins = (1/8) = 0.125
0.20 ≠ 0.125
Statement is not true.
Option B
Number of dimes = 2
Probability of picking out a dime = (2/20) = 0.10
5% chance = 0.05
0.10 ≠ 0.05
Statement is not true.
Option C
Number of pennies = 9
Probability of picking out a penny = (9/20) = 0.45
5 in 8 coins = (5/8) = 0.625
0.45 ≠ 0.625
Statement is not true.
Option D
Number of nickels = 5
Probability of picking out a nickel = (5/20) = 0.25
1 in 4 coins = (1/4) = 0.25
0.25 = 0.25
Hope this Helps!!!