a single ball is drawn from an urn containing 4 balls numbered 1 through 4. find the probability that the ball chosen is as follows: an even numbered ball or an odd numbered ball
obviously, prob = 1
Either-or probabilities are found by adding the individual probabilities.
1/2 + 1/2 = 1
To find the probability of selecting an even-numbered ball or an odd-numbered ball, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Let's start by calculating the number of even-numbered balls:
From the four balls numbered 1 through 4, the even-numbered balls are 2 and 4.
Next, we calculate the number of odd-numbered balls:
From the four balls numbered 1 through 4, the odd-numbered balls are 1 and 3.
Now, we can determine the total number of balls in the urn, which is 4.
To calculate the probability, we add the number of favorable outcomes (even or odd numbered ball) and divide it by the total number of possible outcomes:
Favorable outcomes = 2 (even numbered balls) + 2 (odd numbered balls) = 4
Total possible outcomes = 4 (total number of balls)
Therefore, the probability of selecting an even-numbered ball or an odd-numbered ball is 4/4, which simplifies to 1.
To find the probability of drawing an even numbered ball or an odd numbered ball, we need to determine the total number of favorable outcomes (balls numbered 1, 2, 3, and 4) and the total number of possible outcomes (all the balls in the urn).
Total number of favorable outcomes:
There are two sets of favorable outcomes in this case: even numbered balls (2 and 4) and odd numbered balls (1 and 3). Therefore, the total number of favorable outcomes is 2 (even) + 2 (odd) = 4.
Total number of possible outcomes:
Since there are four balls in the urn (numbered 1, 2, 3, and 4), the total number of possible outcomes is 4.
Now, we can calculate the probability by dividing the total number of favorable outcomes by the total number of possible outcomes:
Probability = Total number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 4
Probability = 1
Therefore, the probability of drawing an even numbered ball or an odd numbered ball from the urn is 1 or 100%.