Maths-
General
Easy
Question
The table shows the distribution of objects in a collection by shape and color. If a triangle is selected at random, what is the probability that the selected triangle is red?
The correct answer is:
In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.
Notation: 
Explanations:
Step 1 of 4:
Total number of triangles = 7 + 5 = 12
Total number of rectangles = 8 + 6 = 14
Total number of objects = 12 + 14 = 26
Step 2 of 4:
The probability of selecting a triangle at random is given by, P(selecting a triangle) = 
Step 3 of 4:
The probability of selecting a red triangle is given by, P (selecting a red triangle) =
Step 4 of 4:
Two events stated above in steps 3 and 4, are independent of each other. So, the conditional probability of selecting a red triangle given the object selected was a triangle is given by,
P(red triangle / triangle) = 
Final Answer:
The required probability is —
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