Answer: Hello mate!
The event is "A die is rolled then a letter in the word STATISTICS is randomly selected."
first we need to see the probability of at least a 3 in the die.
the die has 6 sides, with numbers 1, 2, 3, 4, 5, and 6.
then there are 3 options that give a result of at least 3, then the probability is calculated as the quotient of these options and the total amount of options: this is 3/6 = 1/2.
Now let's find the probability of randomly chose the letter y from the word STATISTICS, in this word, there are a total of 10 letters, and 3 of them are S.
Then the probability of randomly select the letter S is equal to 3/10.
Now we want to know the joint probability of these two events, and this is obtained as the multiplication of their probabilities.
This is p = (1/2)*(3/10) = (3/20)
Then the probability of " rolling at least a 3 and then selecting the letter S" is equal to 3/20
that you can write as a percentage in the next way:
(3/20)*100% = 0.15*100% = 15%
