Multiple Choice
If students in a class of passed an exam, what percent of the class passed?
62
views
4. Probability
Basic Concepts of Probability
Multiple Choice
Which of the following events has a theoretical probability equal to ?
A
Flipping a fair coin and getting heads
B
Drawing a heart from a standard deck of cards
C
Rolling a fair six-sided die and getting a multiple of
D
Rolling a fair six-sided die and getting a number less than
Verified step by step guidance1
Step 1: Understand the concept of theoretical probability, which is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes. The formula is: \(\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\).
Step 2: Analyze each event to determine the number of favorable outcomes and total outcomes. For example, a fair six-sided die has 6 possible outcomes: {1, 2, 3, 4, 5, 6}.
Step 3: Calculate the probability for the event 'Rolling a fair six-sided die and getting a multiple of 3'. The favorable outcomes are {3, 6}, so the number of favorable outcomes is 2. The total outcomes are 6. Thus, the probability is \(\frac{2}{6}\).
Step 4: Simplify the fraction \(\frac{2}{6}\) to its lowest terms to check if it equals \(\frac{1}{3}\).
Step 5: Repeat the same process for the other events (flipping a coin, drawing a heart, rolling less than 3) and compare their probabilities to \(\frac{1}{3}\) to confirm which event matches the theoretical probability of \(\frac{1}{3}\).
Related Videos
Related Practice
