Question:medium
Two fair dice are rolled. Then the probability of getting a composite number as the sum of face values is equal to:
Two fair dice are rolled. Then the probability of getting a composite number as the sum of face values is equal to:
Show Hint
It's much faster to count the prime sums (only 5 values) and subtract from the total than to count all possible combinations for the 6 composite sums.
Updated On: May 2, 2026
- $\frac{7}{12}$
- $\frac{5}{12}$
- $\frac{1}{12}$
- $\frac{3}{4}$
- $\frac{2}{3}$
Show Solution
The Correct Option is A
Solution and Explanation
Was this answer helpful?
0
Top Questions on Probability and Uniform Distribution
- If a fair coin is tossed 5 times, what is the probability of getting exactly 3 heads?
- BITSAT - 2026
- Statistics
- Probability and Uniform Distribution
- If $f(x) = \begin{cases} 3(1 - 2x^2), & 0<x<1 \\ 0, & \text{otherwise} \end{cases}$ is a probability density function of $X$, then $P\left(\frac{1}{4}<x<\frac{1}{3}\right)$ is
- MHT CET - 2014
- Statistics
- Probability and Uniform Distribution
- The p.m.f. of a random variable X is $P(x) = \begin{cases} \frac{2x}{n(n+1)}, & x = 1, 2, 3, ....... n \\ 0, & \text{otherwise} \end{cases}$, then $E(X)$ is
- MHT CET - 2023
- Statistics
- Probability and Uniform Distribution
The probability mass function of a random variable $X$ is given by: $$ P(X = r) = \begin{cases} \frac{{}^nC_r}{32}, & r = 0,1,2,\dots,n \\ 0, & \text{otherwise} \end{cases} $$ Find: $$ P(X \le 2) $$
- MHT CET - 2023
- Statistics
- Probability and Uniform Distribution
- Want to practice more? Try solving extra ecology questions todayView All Questions
