Question

Avery’s piggy bank has 300 nickels, 450 pennies, and 150 dimes. She randomly picks three coins. Each time she picks a coin, she makes a note of it and puts it back into the piggy bank before picking the next coin.

The table of randomly generated coin selections simulates this scenario. Each letter represents the first letter of the associated coin.

NPP NDN NNP PDP NPP
PDN DPN NNN PDN NPP
PNN NPP NPP NND DNP
PNN NNP PPP PNP NNN
PPP DPP PPD PDD PDP
PDP PPP NPP DNP PNN
PDN NNN PPP DPN DPD
NND NPP PDP PNP DND
PPN DPN PNP NPN NDN
PPP DPP PPN NDP PPP


The estimated probability that exactly two of the three coins Avery randomly picked are nickels is .

The estimated probability that exactly one of the three coins Avery randomly picked is a dime is .

The estimated probability that all three coins Avery randomly picked are pennies is .

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is the estimated probability that exactly one of the three coins Avery randomly picked is a dime.

Answer 1

The answer to #1 is .20 or 20% and the answer to #2 is .40 or 40%. 20% is less than 40% so...

Answer 2

(1) .20 (2) .40 (3) .12 (4) Less than

Explanation:

You have to look at the table. There are 5 columns with 10 rows. 5x10=50

Then simply count the boxes that have the correct number of currency for instance, if they are asking for EXACTLY 1 dime then you rule out the ones that have 2 or 3 dimes and only the count the ones that have a single dime. So you count PDN but you would not count PDD. There are 20 boxes that have a single dime in them. 20 out of the 50 boxes. 20/50=.40 (answer 2)

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is . 20

The estimated probability that exactly one of the three coins Avery randomly picked is a dime is . 40

The estimated probability that all three coins Avery randomly picked are pennies is . 12

The answer to #1 is .20 or 20% and the answer to #2 is .40 or 40%. 20% is less than 40% so...

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is LESS THAN the estimated probability that exactly one of the three coins Avery randomly picked is a dime.