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 |
0.44 0.5 0.06 0.54 |
0.44 |
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: $P(A \cup B) = P(A) + P(B) - P(A \cap B)$ $P(A_{\text{Math}} \cup A_{\text{Physics}}) = 0.2 + 0.3 - (0.2 \cdot 0.3) = 0.5 - 0.06 = 0.44$ |