Question

q 18.) a bag contains 10 shapes, 4 green squares, 3 red hearts, 2 blue triangles, and 1 yellow star. if you continue to choose shapes 30 times, putting back the chosen shape each time, about how many times would you expect to choose a blue triangle?

Explanation:

Step1: Calculate probability of blue triangle

The probability $P$ of choosing a blue triangle is the number of blue triangles divided by the total number of shapes. There are 2 blue triangles and a total of $4 + 3+2 + 1=10$ shapes. So $P=\frac{2}{10}=0.2$.

Step2: Calculate expected number of blue - triangle choices

The expected number $E$ of times a blue triangle is chosen in $n = 30$ trials is given by $E=n\times P$. Substitute $n = 30$ and $P=0.2$ into the formula, we get $E=30\times0.2 = 6$.

Answer:

6