Question

Assume that a bag contains 4 red squares, 3 red rectangles, 5 blue squares and 4 blue circles. An object is taken out from the bag. What is the probability of taking out a blue square?

• A. $\frac{5}{15}$
• B. $\frac{4}{16}$
• C. $\frac{5}{16}$
• D. $\frac{6}{16}$

Answer 1

The correct option is C $\frac{5}{16}$

Total number of items in the bag,
n = 4 + 3 + 5 + 4 = 16

Let m denote number of element in the event "taking out a blue square".
then, m = 5.
Therefore, probability of taking out a blue square is
$P\left(A\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{outcomes}\mathrm{favourable}\mathrm{to}A}{\mathrm{Total}\mathrm{possible}\mathrm{outcomes}}i.e.,P\left(A\right)=\frac{m}{n}i.e.,P\left(A\right)=\frac{5}{16}$