Question

Students in a class each write down on a piece of paper a letter of their choice and fold it and put it into a bowl. Given above are those letters. Alex picks a piece of paper at random from the bowl. What is the probability that Alex picks a paper with;

• A. $P\left(\text{Alex picking an A}\right)=\frac{1}{17}$
  $P\left(\text{Alex picking a S}\right)=\frac{1}{17}$
• B. $P\left(\text{Alex picking an A}\right)=\frac{1}{17}$
  $P\left(\text{Alex picking a S}\right)=\frac{4}{17}$
• C. $P\left(\text{Alex picking an A}\right)=\frac{4}{17}$
  $P\left(\text{Alex picking a S}\right)=\frac{1}{17}$
• D. $P\left(\text{Alex picking an A}\right)=\frac{4}{17}$
  $P\left(\text{Alex picking a S}\right)=\frac{4}{17}$

Answer 1

The correct option is B $P\left(\text{Alex picking an A}\right)=\frac{1}{17}$

$P\left(\text{Alex picking a S}\right)=\frac{4}{17}$
Total number of letters $=17$
Number of pieces of paper with an $"A"$ on it $=1$
Number of pieces of paper with an $"S"$ on it $=4$
Hence,
$P\left(\text{Alex picking an A}\right)=\frac{1}{17}$
$P\left(\text{Alex picking a S}\right)=\frac{4}{17}$