Erin has four shirts (white, blue, red, black) and two pairs of pants (blue and black). She randomly chooses a shirt and a pair of pants. What is the probability that they are the same color?
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
1/2 * 1/4 = ?
1/4
To find the probability that Erin chooses a shirt and pants of the same color, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable outcomes: Erin can choose a blue shirt and blue pants OR a black shirt and black pants.
Total possible outcomes: Erin can choose any one of the four shirts and any one of the two pairs of pants.
Thus, the probability that Erin chooses a shirt and pants of the same color is 2 favorable outcomes out of 8 total possible outcomes.
Probability = 2/8 = 1/4 = 0.25 or 25%.
To find the probability that Erin chooses a shirt and a pair of pants of the same color, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Step 1: Determine total number of outcomes
Erin has 4 choices for the shirt (white, blue, red, black) and 2 choices for the pants (blue and black). The total number of outcomes is the product of the number of choices for each item: 4 shirts * 2 pants = 8 possible outcomes.
Step 2: Determine the number of favorable outcomes
The favorable outcomes occur when Erin chooses a shirt and a pair of pants of the same color. There are 2 favorable outcomes: choosing the blue shirt and blue pants, or choosing the black shirt and black pants.
Step 3: Calculate the probability
The probability of an event happening is defined as the number of favorable outcomes divided by the total number of outcomes.
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 2 / 8
Probability = 1/4 or 0.25
Therefore, the probability that Erin chooses a shirt and a pair of pants of the same color is 0.25 or 25%.