It looks like you are spinning the wheel twice.
But who knows.
A is 3/8 no matter how many spins
Do you want exactly two or at least one yellow in B?
A circular spinner has 8 equally spaced spots; there are 3 blue, 2 green, 2 yellow and 1 red space. Let events A and B be defined as follows:
A = {outcomes with a blue on the first spin}
B = {outcomes with yellow on a spin}
Find:
a.) probability (A)
b.) probability (B)
c.)probability (A union B)
I have questions about all 3:
a.) would this just be 3/8, or do i need to factor in the second spin
b.) would this be 1/64 = 1/8 * 1/8
c.) what exactly is this part asking? prob(blue followed by a yellow)??? and if so would this just be 3/8 * 1/8 = 3/64?
ok thanks that makes sense
so the probability of yellow on a spin would look like this:
n(s) = 8*8 =64
n(no yellow) = 6*6 =36
n(a yellow) = 28
prob(no yellow) = 36/64 = 9/16
prob(outcomes of yellow on a spin) = 28/64 = 7/16
then for the last part...what does a union b mean. does that mean a then b?
Union means both A and B occur. With the events in this example, this basically means the event that you get a blue first, then a yellow, so in this case it does mean A then B, but this wouldn't always be the case. I believe the probability you calculated is correct.