The table below, so the number of shirts are different colors in a closet, red shirt, one blue shirt, six green shirt, one pink shirt for Dennis select a shirt from the closet randomly without looking what is the probability that Dennis will select a pink shirt and the coin tails up
To solve this problem, we need to calculate the probability of two independent events happening: Dennis selecting the pink shirt (1 out of 9) and the coin landing tails up (1 out of 2).
The probability of Dennis selecting the pink shirt is 1 out of 9, as there is only 1 pink shirt out of a total of 9 shirts in the closet. Therefore, the probability of this event occurring is 1/9.
The probability of the coin landing tails up is 1 out of 2, as there are only 2 possible outcomes for the coin flip (heads or tails). Therefore, the probability of this event occurring is 1/2.
Since these are independent events, we can calculate the overall probability by multiplying the individual probabilities:
P(pink shirt and tails up) = P(pink shirt) * P(tails up)
P(pink shirt and tails up) = (1/9) * (1/2)
P(pink shirt and tails up) = 1/18
Therefore, the probability that Dennis will select a pink shirt and the coin lands tails up is 1/18 or approximately 0.056.