List of top General Aptitude Questions on Probability asked in GATE GG, GATE EY

An unbiased six sided die, with faces marked \(1\), \(2\), \(3\), \(4\), \(5\), and \(6\), is rolled twice in succession, and the number on the top face is recorded each time. The probability that the sum of the two recorded numbers is a prime number is ________

A game consists of spinning an arrow around a stationary disk as shown below.
When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered 1, 2, 3, 4, 5, 6, 7, or 8 as shown.
Two such disks are used in a game where their arrows are independently spun.
What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?

Let $X$ be a continuous random variable denoting the temperature measured. The range of temperature is $[0, 100]$ degree Celsius and the probability density function of $X$ be $f(x) = 0.01$ for $0 \le X \le 100$. The mean of $X$ is \(\underline{\hspace{2cm}}\)