Question

10 bags of rice flour, each marked 2 kg, actually contained the following weights of flour (in kg):

1.98, 1.95, 2.00, 2.01, 2.02, 2.07, 1.98, 1.97, 2.04, 2.00

Find the probability that any of these bags chosen at random contains less than 2 kg of flour.

• A. 0.3
• B. 0.2
• C. 0.5
• D. 0.4

Answer 1

The correct option is D 0.4

$\text{Probability}=\frac{\text{No.of favourable outcomes}}{\text{Total no. of outcomes}}$

From the given data we get,

Total number of outcomes = 10

Number of favorable outcomes = 4 (the bags which contain less than 2 kg of rice floor)

$P\left(lessthan2kgofricefloor\right)=\frac{4}{10}$
$=0.4$