1. What is the probability of the occurrence of a number that is even or less than 3 when a fair die is rolled?
(1) 2/3
(2) 3/2
(3) 5/6
(4) 6/5
(1) 1
(2) 2
(3) 3
(4) 4
EXPLANATION
A fair six-sided die has the numbers 1 through 6. We need to find the probability of rolling a number that is either even or less than 3.
The even numbers on a die are 2, 4, and 6, and the numbers less than 3 are 1 and 2.
The favorable outcomes are {1, 2, 4, 6}, and the total outcomes are {1, 2, 3, 4, 5, 6}.
The probability is calculated as the number of favorable outcomes divided by the total number of outcomes:
P(even or less than 3) = 4/6= 2/3
2. A speaks truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, narrating the same incident?
(1) 5%
(2) 15%
(3) 35%
(0) 45%
(1) 1
(2) 2
(3) 3
(4) 4
EXPLANATION
In narrating the same incident, A and B are likely to contradict each other in 35% of cases, considering the probabilities of A speaking the truth and B lying, as well as B speaking the truth and A lying.
Leave a Reply