The table below shows the number of shirts of different colors in a closet. Red shirt 1, blue shirt 6, green shirt 1, pink shirt 4, Dennis selects a shirt from the closet randomly without looking. What is the probability that Dennis will select a pink shirt and the coin will land tails up
To find the probability that Dennis will select a pink shirt and the coin will land tails up, we first need to find the total number of shirts and the total number of possible outcomes.
Total number of shirts: 1 (red) + 6 (blue) + 1 (green) + 4 (pink) = 12 shirts
Total number of possible outcomes: 12 shirts * 2 (heads or tails) = 24 outcomes
Now, we need to find the number of favorable outcomes, which is selecting a pink shirt (4 shirts) AND the coin landing tails up (1 outcome).
Number of favorable outcomes: 4 pink shirts * 1 tails up = 4 outcomes
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 24
Probability = 1/6
Probability = 0.1667
Therefore, the probability that Dennis will select a pink shirt and the coin will land tails up is 0.1667 or approximately 16.67%.