Question:medium
A letter is taken at random from the word "STATISTICS" and another letter is taken at random from the word "ASSISTANT". The probability that they are same letters is
A letter is taken at random from the word "STATISTICS" and another letter is taken at random from the word "ASSISTANT". The probability that they are same letters is
Show Hint
Break probability into cases based on each matching letter.
Updated On: May 1, 2026
- \( \frac{1}{45} \)
- \( \frac{13}{90} \)
- \( \frac{19}{90} \)
- \( \frac{5}{18} \)
- \( \frac{9}{10} \)
Show Solution
The Correct Option is B
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
