we know that
The probability of an event is the ratio of the size of the event
space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are
interested in.
so
P=size of the event space/size of the sample space
step 1
find the probability that Joey will be first
size of the sample size=12
size of the event space=1
P=1/12
step 2
find the probability that Chloe will be second
size of the sample size=12-1=11
size of the event space=1
P=1/11
step 3
find the probability that Zoe will be third
size of the sample size=11-1=10
size of the event space=1
P=1/10
step 4
Find the probability that Joey will be first, Chloe will be second, and Zoe will be third
P=(1/12)*(1/11)*(1/10)-----> P=1/1320-----> 0.00075------> 0.076%
the answer is
the probability that Joey will be first, Chloe will be second, and Zoe will be third is 0.00075 (0.076%)
