Question:
When two dice are thrown, what is the probability of getting the sum 7?
When two dice are thrown, what is the probability of getting the sum 7?
Show Hint
To calculate the probability, divide the number of favorable outcomes by the total number of outcomes.
Updated On: Apr 27, 2025
- \( \frac{5}{6} \)
- \( \frac{1}{6} \)
- \( \frac{5}{36} \)
- \( \frac{1}{9} \)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
When two dice are thrown, the total number of outcomes is:
\[
6 \times 6 = 36.
\]
The possible outcomes that give a sum of 7 are:
\[
(1,6), (2,5), (3,4), (4,3), (5,2), (6,1),
\]
which are 6 outcomes. Therefore, the probability of getting a sum of 7 is:
\[
P(\text{sum 7}) = \frac{6}{36} = \frac{1}{6}.
\]
Was this answer helpful?
0
0
Top Questions on Probability
- A box contains 12 red and 8 blue balls. Two balls are drawn randomly from the box without replacement. The probability of drawing a pair of balls having the same color is ________
- The probability of a student missing a class is \( 0.1 \). In a total number of 10 classes, the probability that the student will not miss more than one class is _______ (rounded off to two decimal places).
A coin has a true probability \( \mu \) of turning up Heads. This coin is tossed 100 times and shows up Heads 60 times. The following hypothesis is tested:
\[ H_0: \mu = 0.5 \quad ({Null Hypothesis}), \quad H_1: \mu>0.5 \quad ({Alternative Hypothesis}) \]
Using the Central Limit Theorem, the \( p \)-value of the above test is ________ (round off to three decimal places).
Hint: If Z is a random variable that follows a standard normal distribution, then P (Z ≤ 2) = 0.977.- GATE XH-C1 - 2025
- Mathematics
- Probability
- If \( X \) is a continuous random variable whose probability density function is given by
\[ f_X(x) = \begin{cases} cx^3 + 0.25, & \text{for } 0 \leq x \leq 1, \ c \in \mathbb{R} \\ 0, & \text{elsewhere} \end{cases} \]
Then the value of \( c \) is ________________ (in integer).- GATE XH-C1 - 2025
- Mathematics
- Probability
- If \( X \) is a continuous random variable whose probability density function is given by
\[ f_X(x) = \begin{cases} \frac{1}{x^2}, & \text{for } 1 < x < \infty \\ 0, & \text{elsewhere} \end{cases} \]
Then the median of \( X \) is ________________ (in integer).- GATE XH-C1 - 2025
- Mathematics
- Probability
View More Questions
Questions Asked in AP ICET exam
Fill in the blanks with suitable word ……… man, who knocked at ……….. door is now here.
- AP ICET - 2024
- Reading Comprehension
Fill in the blanks with suitable word …………._ bird in …………. hand is worth two in the bush.
- AP ICET - 2024
- Reading Comprehension
- Fill in the blank with suitable word \[ \text{I don't like being stared \_ \_ \_ \_ \_ .} \]
- AP ICET - 2024
- Synonyms
- Fill in the blank with suitable word \[ \_ \_ \_ \_ \_ \_ \_ \ \text{you were out, there was a phone call for you.} \]
- AP ICET - 2024
- Synonyms
Fill in the blank with suitable word:
It is …………… walking on ice.
- AP ICET - 2024
- Fill in the Blanks
View More Questions