Question
4.- (V) If you spin this spinner 50
times, what is the best prediction for
the number of times it will land on an
odd number?
times, what is the best prediction for
the number of times it will land on an
odd number?
Ask by Wilson Smith. in the United States
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The best prediction is that the spinner will land on an odd number 25 times out of 50 spins.
Solution
-
The spinner has certain outcomes, and we are interested in the probability
that a spin lands on an odd number. -
We assume the spinner is fair, and its regions are of equal area. If there are, for example, four equally likely outcomes numbered
, then the odd numbers are and . -
Therefore, the probability
that the spinner lands on an odd number is -
If the spinner is spun
times, the best prediction for the number of times it will land on an odd number is given by multiplying the total number of spins by the probability :
The answer is
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Simplify this solution Bonus Knowledge
Let’s spin some fun facts! If the spinner is fair and has an equal number of odd and even sections, you can expect it to land on odd numbers about half the time. So, if you spin the spinner 50 times, you’d predict about 25 spins will land on an odd number. Now, if there are more odd sections than even, you might land a bit more often on odds!
But be careful, my friend, because every spin is independent! It’s easy to think the previous outcomes affect the next spin – that’s known as the gambler’s fallacy. Each spin starts fresh; keep it random and enjoy the game!
