Math  /  Data & Statistics

QuestionThe table below shows the number of coins in a purse. Two of the coins are picked at random and taken out of the purse at the same time. a) If one of the coins picked is a 20 p piece, is it possible for the total of the two coins to be exactly 60 p? b) Work out the probability that the total of the two coins is exactly 60p. Give your answer as a fraction in its simplest form. \begin{tabular}{|c|c|c|c|c|c|} \hline Coin & 5p5 p & 10p10 p & 20p20 p & 50p50 p & £1£ 1 \\ \hline Frequency & 1 & 3 & 2 & 5 & 1 \\ \hline \end{tabular}

Studdy Solution
Calculate the probability of selecting a combination that sums to 60p:
Probability = Number of favorable outcomesTotal number of outcomes\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
1566=522 \frac{15}{66} = \frac{5}{22}
The probability that the total of the two coins is exactly 60p is:
522 \frac{5}{22}

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