The theoretical probability of a simple event is P(event) = number of favorable outcomestotal number of outcomes in a sample space
EXAMPLE: A jar contains 10 green, 7 red, and 3 blue marbles. What is the probability of randomly picking a red marble?
P(red) = number of red marblestotal number of marbles in the sample space=7/10+7+3 = 7/20
The probability of randomly picking a red marble is
7/20=0.35=35%
Use the spinner below to complete the problem.
only two 3's
Determine the probability of the spinner landing on a 3.
Enter the probability as a decimal with two decimal places:
P(3) = number of favorable outcomes (2) / total number of outcomes (4) = 2/4 = 0.50 = 50%
there are 8 number of outcomes
I see, thank you for providing clarification. In that case:
P(3) = number of favorable outcomes (2) / total number of outcomes (8) = 2/8 = 0.25 = 25%
Therefore, the probability of the spinner landing on a 3 is 0.25 or 25%.
Caleb is creating a sign with the words
T H E U N I T E D S T A T E S O F A M E R I C A
with each letter having its own cutout. If a letter is randomly chosen, complete each part below.
(3 points)
Part 1. What is the probability Caleb will choose the letter A?
Enter the probability as a decimal rounded to the thousandth place. (3 digits)
In the phrase "THE UNITED STATES OF AMERICA", there are a total of 24 letters.
The letter "A" appears 1 time in the phrase.
Therefore, the probability of Caleb choosing the letter "A" is:
P(A) = number of favorable outcomes (1) / total number of outcomes (24) = 1/24 ≈ 0.042
Therefore, the probability of choosing the letter "A" is approximately 0.042.
Part 2. What is the probability Caleb will choose a consonant?
Enter the probability as a decimal rounded to the thousandth place. (3 digits)
In the phrase "THE UNITED STATES OF AMERICA", there are a total of 24 letters.
Out of these 24 letters:
- There are 9 consonants: T, H, N, D, S, T, S, F, M
- There are 3 spaces: " " to separate the words.
Therefore, there are 9 consonants out of the 24 total letters.
The probability of Caleb choosing a consonant is:
P(consonant) = number of favorable outcomes (9) / total number of outcomes (24) = 9/24 = 0.375
Therefore, the probability of Caleb choosing a consonant is 0.375.
Part 3. What is the probability Caleb will choose a letter from the word “of”?Enter the probability as a decimal rounded to the thousandth place. (3 digits)
In the word "of", there are 2 letters.
Out of the 24 total letters in the phrase "THE UNITED STATES OF AMERICA", 2 of them are from the word "of".
The probability of Caleb choosing a letter from the word "of" is:
P(letter from "of") = number of favorable outcomes (2) / total number of outcomes (24) = 2/24 = 0.083
Therefore, the probability of Caleb choosing a letter from the word "of" is approximately 0.083.
Compare the probability of the spinner landing on 1, 2, or 3. Enter the answer as a percent rounded to the nearest whole number.
The wheel has six 1's, four 2's, and two 3's
(3 points)
P(1) =
%
P(2) =
%
P(3) =
%