Answer:
1/720
Step-by-step explanation:
there is only one way to spell tiger but there's 720 outcomes of the other words you can make
The probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.
Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, the letters of TIGERS are given at random.
All the six letters are different and there exist 6! permutations for them. (as for n unique things, there exist n! possible arrangements of theirs).
So, the posters can be distributed in 6! = 6×5×4×3×2×1 = 720 ways.
Out of those 720 ways, there is only one correct way to spell TIGERS correctly.
Thus, we get:
P(event that correct order of posters is distributed) = [tex]\dfrac{1}{720} \approx 0.00139[/tex]
Thus, the probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.
Learn more about probability here:
brainly.com/question/1210781
