Two dice are thrown independently. Let A be the event that the number appeared on the 1^{\text{st }} die is less than the number appeared on the 2^{\text{nd }} die, B be the event that the number appeared on the 1^{\text{st }} die is even and that on the second die is odd, and {\C} be the event that the number appeared on the 1^{\text{st }} die is odd and that on the 2^{\text{nd }} is even. Then [1-Feb-2023 Shift 2]

Correct Answer is : the number of favourable cases of the event (A∪B)∩C is 6

the number of favourable cases of the event ( {\A} \cup {\B}) \cap {\C} is 6

The number of favourable cases of the events {\A}, {\B} and {\C} are 15,6 and 6 respectively

JEE Mains 1-Feb-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 65 of 90

Marks: +1, -0

Two dice are thrown independently. Let A be the event that the number appeared on the 1‌st ‌ die is less than the number appeared on the 2‌nd ‌ die, B be the event that the number appeared on the 1‌st ‌ die is even and that on the second die is odd, and C be the event that the number appeared on the 1‌st ‌ die is odd and that on the 2‌nd ‌ is even. Then

[1-Feb-2023 Shift 2]

the number of favourable cases of the event (A∪B)∩C is 6
A and B are mutually exchusive
The number of favourable cases of the events A,B and C are 15,6 and 6 respectively
B and C are independent

Validate

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