Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

Nitin has taken the subjects mathematics, physics and chemistry. The probability of him getting grade A in these subjects are respectively 0.2, 0.3 and 0.9. Getting grades in different subjects are regarded as independent events. The probability of getting A grade by him, either in mathematics or physics, is

Options:

0.44

0.5

0.06

0.54

Correct Answer:

0.44

Explanation:

The correct answer is Option (1) → 0.44

Given:

$P(A_{\text{Math}}) = 0.2$, $P(A_{\text{Physics}}) = 0.3$

Required: Probability that Nitin gets grade A in either mathematics or physics.

Let the event be $P(A_{\text{Math}} \cup A_{\text{Physics}})$

Using formula: $P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A_{\text{Math}} \cup A_{\text{Physics}}) = 0.2 + 0.3 - (0.2 \cdot 0.3) = 0.5 - 0.06 = 0.44$