Yvette spins the following spinner

times.

A spinner with 5 equal sections labeled 1 through 5.

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How many times should she expect it to land on 4

Enter your answer as a number, like this: 42

1 answer

To calculate the expected number of times Yvette should expect the spinner to land on 4, you can use the formula for expected value:

\[ E = n \cdot p \]

where:

  • \( E \) is the expected number of occurrences,
  • \( n \) is the number of spins, and
  • \( p \) is the probability of landing on a specific number (in this case, the number 4).

Since the spinner has 5 equal sections, the probability \( p \) of landing on 4 is:

\[ p = \frac{1}{5} \]

Now, if you provide the number of times Yvette spins the spinner (let's say \( n \) spins), you can substitute the values into the formula.

For instance, if Yvette spins the spinner 20 times:

\[ E = 20 \cdot \frac{1}{5} = 20 \cdot 0.2 = 4 \]

If you have a specific number of spins \( n \) in mind, you can substitute that value into the formula to find the expected number of times it lands on 4. Please provide the number of spins if you need a specific calculation!