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Seth has 4 plaid shirts and 5 solid-colored shirts hanging together in a closet. In his haste to get ready for work, he randomly grabs 1 of these 9 shirts. What is the probability that the shirt Seth grabs is plaid?
  • a)
    1/5
  • b)
    1/4
  • c)
    4/9
  • d)
    1/9
  • e)
    4/5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Seth has 4 plaid shirts and 5 solid-colored shirts hanging together in...
To find the probability that Seth grabs a plaid shirt, we need to determine the number of plaid shirts and the total number of shirts available.

Given:
- Seth has 4 plaid shirts.
- Seth has 5 solid-colored shirts.
- Seth randomly grabs 1 shirt.

Let's calculate the probability step by step:

Step 1: Determine the total number of shirts available.
- Seth has 4 plaid shirts.
- Seth has 5 solid-colored shirts.
- Therefore, the total number of shirts available is 4 + 5 = 9.

Step 2: Determine the number of plaid shirts.
- Seth has 4 plaid shirts.
- Therefore, the number of plaid shirts is 4.

Step 3: Calculate the probability.
- Probability is defined as the number of desired outcomes divided by the number of possible outcomes.
- In this case, the desired outcome is Seth grabbing a plaid shirt, which is 4.
- The possible outcomes are the total number of shirts available, which is 9.
- Therefore, the probability is 4/9.

Hence, the correct answer is option (c) 4/9.
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Community Answer
Seth has 4 plaid shirts and 5 solid-colored shirts hanging together in...
Because Seth has 4 plaid shirts and 5 solid-colored shirts, the total number of shirts is 4 + 5 = 9. Of these 9 shirts, 4 are plaid.
Thus the probability that a randomly selected shirt will be plaid is 4/9.
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