Question

(MEDALS!!!!!!!!!!!!!!) Please answer.

Mai spins two spinners at the same time. There are 21 outcomes in the sample space. What can you conclude about the two spinners? Why?

Answer 1

the two spinners are independent, and therefore if one lands in one area, it in no way will effect what the other will do (unless the spinners are big enough to have a high chance of colliding). Assuming the spinner has an equal chance of landing on each of the 21 areas, there is a 1 in 21 chance that a single spinner will land on a chosen area.

Answer 2

What an intelligent and thorough response!

Assuming the spinner has an equal chance of landing on each of the 21 areas, there is a 1 in 21 chance that a single spinner will land on a chosen area. What happens to the other spinner (assuming that it doesn't collide with the first one)?

We spin both spinners simultaneously. What are possible outcomes of doing so, beyond what we've already said (Assuming the spinner has an equal chance of landing on each of the 21 areas, there is a 1 in 21 chance that a single spinner will land on a chosen area.)?

Answer 3

@mathmale So, what's the answer?

Answer 4

Conner: This is a challenging question. I don't have a ready "answer" for you. devanshgaur's first statement, that is, that the two spinners behave independently of each other, is probably the most important thing we could say here.

What do YOU think? Even if you're unsure of your responses, I'd like to know what thoughts have come to your mind.

If one spinner lands on one of the 21 distinct "outcome" regions, then there are only 20 left for the other spinner to "choose" to land on. Whether or not this fact is significant, I don't know.