23,001 views
7 votes
7 votes
6. Marissa has a large bag of coins. After counting the coins, she recorded the counts in the table below. She then decided to draw some coins at random, replacing each coin before the next draw.QuartersNickelsDimesPennies10161712(a) What is the probability that Marissa obtains a quarter on the first draw? (b) What is the probability that Marissa obtains a penny or a dime on the second draw? (c) What is the probability that Marissa obtains at most 10 cents worth of money on the third draw? (d) What is the probability that Marissa does not get a nickel on the fourth draw? (e) What is the probability that Marissa obtains at least 10 cents worth of money on the fifth draw?

6. Marissa has a large bag of coins. After counting the coins, she recorded the counts-example-1
User Evan Carslake
by
2.7k points

1 Answer

29 votes
29 votes

First, we need to determine the number of coins.

10+16+17+12 =55

Notice that she replaces the coin after each draw so the number of coins does not change.

(a) What is the probability that Marissa obtains a quarter on the first draw?

P(quarter) = number of quarters/ total number of coins = 10/55 = 2/11

b) What is the probability that Marissa obtains a penny or a dime on the second draw?

P(penny or dime) = (number of pennies or dimes) / total = (12+17)/55 = 29/55

(c) What is the probability that Marissa obtains at most 10 cents worth of money on the third draw?

At most 10 cents means she can have a penny, a nickel or a dime

P(penny, nickel, or dime) = ((number of pennies, nickels or dimes)/ total = ( 16+17+12) /total = 45/55 = 9/11

(d) What is the probability that Marissa does not get a nickel on the fourth draw?

She can have a quarter, a dime or a penny, ( no nickels)

P( no nickel) = (number of quarters, dimes or pennies) /total = ( 10+17+12)/ total = 39/55

(e) What is the probability that Marissa obtains at least 10 cents worth of money on the fifth draw?

She must get at least 10 cents, which is a dime or a quarter

P(dime or quarter) = (number of dimes or quarters) / total = (10+17)/55 = 27/55

User Axel Kemper
by
2.7k points