Find each probability for choosing a letter at random from the letters in the word FUNCTION. (N or C) and (consonant)
P(N) = 2/8 = 1/4
P(C) = 1/8
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
There are 6 consonants in FUNCTION
To find the probability of selecting a specific letter at random from a given set of letters, you need to determine the number of favorable outcomes (the desired letter) and divide it by the total number of possible outcomes (the total number of letters).
1. Finding the probability of choosing either "N" or "C" from the letters in the word "FUNCTION":
- Favorable Outcomes: The word "FUNCTION" contains two "N" and zero "C" letters.
- Total Outcomes: The word "FUNCTION" has a total of eight letters.
Probability of selecting "N" or "C" = Number of favorable outcomes / Total number of outcomes = 2 / 8 = 1/4
So, the probability of randomly choosing either "N" or "C" from the letters in the word "FUNCTION" is 1/4.
2. Finding the probability of choosing a consonant from the letters in the word "FUNCTION":
- Favorable Outcomes: Consonants are all the letters except for the vowels (A, E, I, O, U). In the word "FUNCTION," the consonants are F, N, C, T.
- Total Outcomes: The word "FUNCTION" has a total of eight letters.
Probability of selecting a consonant = Number of favorable outcomes / Total number of outcomes = 4 / 8 = 1/2
So, the probability of randomly choosing a consonant from the letters in the word "FUNCTION" is 1/2.