if you spin the spinner 7 times, what is the best prediction possible for the number of times it will land…

if you spin the spinner 7 times, what is the best prediction possible for the number of times it will land on green? times

if you spin the spinner 7 times, what is the best prediction possible for the number of times it will land on green? times

Answer

Explanation:

Step1: Determine probability of landing on green

Assume the spinner is divided into 8 equal - sized sections and 2 are green. The probability $P$ of landing on green in a single spin is $P=\frac{\text{Number of green sections}}{\text{Total number of sections}}=\frac{2}{8}=\frac{1}{4}$.

Step2: Calculate expected number of times

The expected value $E$ of the number of times the spinner lands on green in $n = 7$ spins is given by $E=n\times P$. Substitute $n = 7$ and $P=\frac{1}{4}$ into the formula: $E = 7\times\frac{1}{4}=\frac{7}{4}=1.75$.

Answer:

$1.75$