Mark has pair of pants in three different colors, blue, black and brown. He has five colored shirts: a white, a red, a yellow, a blue and a mixed-colored shirt. What is the probability that Mark wears a black pair of pants and a red shirt on a given day?
So he has a (1/3) chance of picking black pants and (1/5) chance of picking the red shirt. Multiply (1/3) times (1/5) which equals (1/15).
He has 3 choices of pants and 5 choices of shirts.
Therefore, the number of possible outfits he can wear = 3 x 5 = 15
Only 1 of these possible outfits is black pants/ red shirt.
Therefore, probability is 1/15.
To find the probability that Mark wears a black pair of pants and a red shirt, we need to consider the number of possible outfits that have both a black pair of pants and a red shirt, and divide it by the total number of possible outfits.
Mark has 3 different colors of pants, and he has 5 different colored shirts. Therefore, the total number of possible outfits is 3 x 5 = 15.
Out of these 15 possible outfits, there is only one outfit that has a black pair of pants and a red shirt. Therefore, the number of favorable outcomes is 1.
The probability that Mark wears a black pair of pants and a red shirt is given by:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 15
So, the probability that Mark wears a black pair of pants and a red shirt on a given day is 1/15 or approximately 0.067.
To calculate the probability that Mark wears a black pair of pants and a red shirt, we need to determine the total number of possible outfits he can wear and the number of outfits that meet the specified condition.
Total number of outfits:
Since Mark has three different colored pants (blue, black, and brown) and five colored shirts (white, red, yellow, blue, and mixed-color), the total number of possible outfits he can wear is obtained by multiplying the number of pants options by the number of shirt options: 3 pants × 5 shirts = 15 outfits.
Number of outfits with black pants and a red shirt:
Now we need to count how many outfits consist of black pants and a red shirt. From the given information, we know that Mark has one black pair of pants and one red shirt. Therefore, the number of outfits with black pants and a red shirt is 1 outfit.
Calculating the probability:
Finally, we can calculate the probability by dividing the number of outfits with black pants and a red shirt by the total number of possible outfits: 1 outfit / 15 outfits = 1/15.
Therefore, the probability that Mark wears a black pair of pants and a red shirt on a given day is 1/15.