The probability of event A (rolling an odd number) is 1/2, and the probability of event B (rolling a number greater than 2) is 2/3.
Rolling a Number Cube
To determine the probabilities for events A and B, we need to analyze the possible outcomes for each event. In this scenario, event A represents rolling an odd number (1, 3, or 5), while event B represents rolling a number greater than 2 (3, 4, 5, or 6).
Event A:
There are 3 possible outcomes for event A: {1, 3, 5}.
Event B:
There are 4 possible outcomes for event B: {3, 4, 5, 6}. Now, let's calculate the probabilities for each event. To find the probability of event A, we divide the number of favorable outcomes (3) by the total number of possible outcomes (6), giving us a probability of 3/6 or 1/2. To find the probability of event B, we divide the number of favorable outcomes (4) by the total number of possible outcomes (6), giving us a probability of 4/6 or 2/3.
The probable question may be:
In a playful scenario involving rolling a six-sided number cube, let's explore two exciting events, A and B.
Event A: Rolling an odd number
Event B: Rolling a number greater than 2
Complete the table with the outcomes for each event:
Event A Intersection of A and B Union of A and B Complement of B
Outcomes 1, 3, 5 3, 5 1, 3, 4, 5, 6 1, 2
Additional Information:
Imagine having fun with a six-sided number cube, where each face is numbered from 1 to 6. Event A captures the excitement of rolling an odd number (1, 3, or 5), and Event B adds to the thrill by focusing on rolling a number greater than 2 (3, 4, 5, or 6). The intersection of A and B represents outcomes that satisfy both events, while the union encompasses all unique outcomes from A and B. The complement of B includes the outcomes not in B, which in this case are 1 and 2.