If two dice are thrown together,then the prob | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) When two dice are thrown,the total number of outcomes is $6 	imes 6 = 36$. The possible sums range from $2$ to $12$. The prime numbers in this ra

Vedclass · Accepted Answer

$5/12$

Vedclass · Answer

(C) When two dice are thrown,the total number of outcomes is $6 	imes 6 = 36$. The possible sums range from $2$ to $12$. The prime numbers in this range are $2, 3, 5, 7, 11$. Favourable outcomes for each sum: Sum $= 2$: $(1, 1)$ - $1$ case Sum $= 3$: $(1, 2), (2, 1)$ - $2$ cases Sum $= 5$: $(1, 4), (2, 3), (3, 2), (4, 1)$ - $4$ cases Sum $= 7$: $(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)$ - $6$ cases Sum $= 11$: $(5, 6), (6, 5)$ - $2$ cases Total favourable cases $= 1 + 2 + 4 + 6 + 2 = 15$. Required probability $= \frac{15}{36} = \frac{5}{12}$.

If two dice are thrown together,then the probability that the sum of the numbers appearing on them is a prime number is:

Similar Questions

If $A, B, C$ are three mutually exclusive and exhaustive events of an experiment such that $P(A)=2 P(B)=3 P(C)$,then $P(B)$ is equal to

Two dice are thrown three times. What is the probability that the first throw shows $10$,the second throw shows $11$,and the third throw shows $12$?

Three coins are tossed. Describe two events which are mutually exclusive.

The probabilities of a student getting $I, II$ and $III$ division in an examination are respectively $\frac{1}{10}, \frac{3}{5}$ and $\frac{1}{4}$. The probability that the student fails in the examination is

From a well-shuffled pack of $52$ cards, one card is drawn at random. The probability that the card drawn is an ace is

Vedclass Test Series

Exam Paper Generator

Online Exam Module