A letter is chosen at random from the word EXTRATERRESTRIAL. Find the probability of the given event.
(a) The letter A is chosen.
2 A's out of 16 letters.
P(A) = 2/16
To find the probability of choosing the letter A from the word EXTRATERRESTRIAL, we need to determine the total number of letters in the word as well as the number of occurrences of the letter A.
Step 1: Calculate the total number of letters in the word.
In the word EXTRATERRESTRIAL, there are a total of 15 letters.
Step 2: Calculate the number of occurrences of the letter A.
The letter A appears twice in the word EXTRATERRESTRIAL.
Step 3: Calculate the probability.
The probability of choosing the letter A can be found by dividing the number of occurrences of the letter A by the total number of letters in the word.
Probability = Number of occurrences of A / Total number of letters
Probability = 2 / 15
Thus, the probability of the event "choosing the letter A" from the word EXTRATERRESTRIAL is 2/15.