matt and ruba each have one coin.

The total amount of money is less than 50p.
work out the probability that exactly one of the coins is a 10p piece.
assume that all possible coins are equally likely.

please can you explain i have to know how to do this

please help as soon as possible

3.5 hours 60 km

To calculate the probability that exactly one of the coins is a 10p piece, we need to consider the possible combinations of coins that satisfy this condition, and then divide it by the total number of possible outcomes.

Let's start by determining the possible combinations that meet the criteria. There are two scenarios we need to consider:
1) Matt has a 10p piece and Ruba has a coin other than a 10p piece.
2) Matt has a coin other than a 10p piece, and Ruba has a 10p piece.

For scenario 1, Matt has one option (a 10p piece), and Ruba has several options (coins other than a 10p piece). Assuming all coins are equally likely, there are (let's say) n possible options for Ruba's coin.

For scenario 2, Matt has several options (coins other than a 10p piece), and Ruba has one option (a 10p piece). Again, assuming all coins are equally likely, there are also n possible options for Matt's coin.

Therefore, the total number of combinations where exactly one of the coins is a 10p piece is 2n.

Now, let's calculate the total number of possible outcomes. Since Matt and Ruba each have one coin, there are a total of two possible outcomes for each coin: 10p piece or a non-10p piece. So, the total number of possible outcomes is 2 * 2 = 4.

Finally, to find the probability, we divide the number of favorable outcomes (combinations where exactly one coin is a 10p piece) by the total number of possible outcomes.

Probability = Favorable Outcomes / Total Outcomes = (2n) / 4

Since we don't have the exact value of n, we cannot calculate the exact probability. However, we can say that the probability is dependent on the specific values of n, which in turn depend on the options for Ruba and Matt's coins.

I hope this explanation helps you understand how to approach this problem and calculate the probability when the specific values of n are given.