Question

There are five nickels and seven dimes in your pocket. four of the nickels and six of the dines are canadian. the others are US currency. you randomly select a coin from your pocket. what is the probability it is a nickel or it is Canadian currency?

AND ITS SUPPOSED TO BE A FRACTION​

Answer 1

The probability that a randomly selected coin is either a nickel or Canadian currency is 11/12. This is calculated by adding the probabilities of selecting a nickel and Canadian currency separately and subtracting the overlap of Canadian nickels to avoid double-counting.

Step-by-step explanation:

To calculate the probability that a randomly selected coin from your pocket is either a nickel or Canadian currency, you can use the principles of probability. First, count the total number of coins, which is five nickels plus seven dimes, giving us a total of 12 coins. Out of these, four nickels and six dimes are Canadian. So, there are four Canadian nickels, two Canadian dimes, and one US nickel (5 nickels - 4 Canadian nickels).

The probability of selecting a nickel is the number of nickels divided by the total number of coins: 5/12. The probability of selecting Canadian currency is the number of Canadian coins divided by the total number of coins: (4 nickels + 6 dimes)/12 = 10/12.

Since the Canadian nickels are included in both categories (nickels and Canadian currency), we must avoid double-counting them. Therefore, we subtract the probability of picking a Canadian nickel from the sum of the individual probabilities: (5/12) + (10/12) - (4/12).

Calculating this, we get:

Probability of picking a nickel or Canadian currency = (5/12) + (10/12) - (4/12) = 11/12.

Thus, the probability that you randomly select a nickel or Canadian currency is 11/12.

Answer 2

There is a 4/12 or 1/3 percent that I would get a Canadian currency nickel and a 1/12 percent that it would be a USA nickel. For how I got the 4/12 fraction, I just add all the coins together and see how much nickels are from Canadian currency and then that will be the fraction. Since there is only one nickel that is from USA out of 12, then it‘ll be 1/12 as the fraction.