Question

There are twelve shirts in your closet, five blue and seven green. Four of the blue shirts and one of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is blue or is too big. Find the probability of this occuring.A. 8/13B. 8/11C. 11/12D. 5/7

Answer 1

Step 1: Given data

Total number of shirts = 12

Blue shirt = 5

Green shirt = 7

Step 2: Write the number of fit and too big shirts

Blue shirt = 5: 4 fit and 1 big

Green shirt = 7 1 fit and 6 big

Total fit shirts = 5

Total big shirt = 7

Step 3:

You can see that there are five blue and seven too big shirts, but the total number of them is 5 + 7 - 1 (because one of the too big shirts is also blue).

Final answer

`\begin{gathered} \text{Probability that it is blue or too big = }\frac{5\text{ + 7 - 1}}{12} \\ =\text{ }(11)/(12) \end{gathered}`

Option C is the correct answer