MATH CHALLENGE Solve the following problems. 5. black shoes, and tan shoes. Jenny chooses an outfit to wear at random by spinning the in her suitcase, Jenny has a green skirt, an orange skirt, a yellow blouse, a white blouse, spinners in succession. Skirt Blouse .1. How many different outfits are possible? Shoes 2. What is the probability of wearing a green skirt, white blouse, and tan shoes? 3. What is the probability of not wearing a white blouse? 4. What is the probability of not wearing an orange skirt and black shoes? [ What is the probability of wearing orange skirt, no yellow blouse, and no black shoes?
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Answer:
1. How many different outfits are possible?
To find the number of different outfits, we need to multiply the number of options for each item of clothing. In this case, Jenny has 2 skirts, 2 blouses, and 2 shoes. So the total number of different outfits is:
2 skirts x 2 blouses x 2 shoes = 8 different outfits.
2. What is the probability of wearing a green skirt, white blouse, and tan shoes?
Since Jenny chooses an outfit at random, each outfit is equallylikely. Out of the 8 different outfits, only 1 has a green skirt, a white blouse, and tan shoes. Therefore,
the probability is: 1 outfit / 8 total outfits = 1/8 = 0.125 or 12.5%.
3. What is the probability of not wearing a white blouse? To calculate the probability of not wearing a white blouse, we need to count the number of outfits that do not include a white blouse. Out of the 8 total outfits, 4 of them do not have a white blouse. Therefore, the probability is: 4 outfits without white blouse / 8 total outfits = 4/8 = 0.5 or 50%.
4. What is the probability of notwearing an orange skirt and black
shoes?
Similarly, to calculate the probability of not wearing an orange skirt and black shoes, we count the number of outfits that do not include an orange skirt and black shoes. Out of the 8 total outfits, 3 of them do not have an orange skirt and black shoes. Therefore, the probability is: 3 outfits without orange skirt and black shoes/8 total outfits = 3/8 = 0.375 or 37.5%.
5. What is the probability of wearing an orange skirt, no yellow blouse, and no black shoes? To calculate the probability ofwearing an orange skirt, no yellow blouse, and no black shoes, we count the number of outfits that meet these criteria. Out of the 8 total outfits, 1 of them has an orange skirt, no yellow blouse, and no black shoes. Therefore, the probability is:
1 outfit with orange skirt, no yellow blouse, and no black shoes / 8 total outfits = 1/8 = 0.125 or 12.5%.
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