Question

A wheel contains eight slices, numbered sequentially 1 through 8. The probability of landing on each slice is equal. If the wheel is spun three times, what is the probability that the first spin is 4 or less, the second spin is 6 or less, and the third spin is 8 or less?

Answer 1

we need to consider each spin separately since they are independent events, then multiply them

first spin: 4 or less
there are 4 numbers that satisfy this requirement: 1,2,3,4

second spin: 6 or less
same reasoning, there are 6 numbers that satisfy this requirement: 1,2,3,4,5,6

third spin: 8 or less:
all 8 numbers satisfy this requirement

for each spin, calculate probability = (desired outcomes)/total outcomes

then multiply the three probabilities associated with each spin