Question

A die is rolled then a letter in the word STATISTICS is randomly selected. What is the probability of at least a 3 then the letter S?

Answer 1

The probability of at least a 3 then the letter S is 0.2 or 1/5.

Step-by-step explanation:

To find the probability of at least a 3 then the letter S, we need to consider two events: rolling at least a 3 and selecting the letter S from the word STATISTICS. Let's calculate the probabilities step by step:

1. The probability of rolling at least a 3 on a fair die is 4/6, since there are four outcomes (3, 4, 5, 6) that satisfy the condition out of the six possible outcomes on the die.
2. The probability of selecting the letter S from the word STATISTICS is 3/10, since there are three S's in the word out of the ten total letters.

To find the probability of both events occurring, we multiply the individual probabilities together:

P(rolling at least a 3 and selecting the letter S) = (4/6) * (3/10) = 12/60 = 1/5 = 0.2

Therefore, the probability of at least a 3 then the letter S is 0.2 or 1/5.

Answer 2

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%