Question

Fernando has a bag of beads in five different color: purple, blue ,orange, and grst. the table below shows the results of Fernando randomly takis 360, one bead at a time, recording its color and replacing the bead inside the bag.purple: 87blue: 214green: 40orange: 166gray: 123Fernando takes 45 beads at random. what is the most likely numbet of orange beads he takes?A: 6B: 9C: 12D: 15

Answer 1

fom the question;

Number of orange beads = 166

Total number of beads = 87 + 214 + 40 + 166 + 123 = 630

Number of orange beads taken = ?

Total number of beads taken = 45

$\begin{gathered} number\text{ of orange beads taken = }\frac{number\text{ of orange beads}}{\text{total number of beads}}\text{ }\times45 \\ \text{ = }\frac{166}{630}\text{ }\times\text{ 45} \\ \text{ = 11.87} \\ \text{ }\cong\text{ 12} \end{gathered}$

Therefore,

The number of orange beads he takes is 12