Two dice are rolled simultaneously. The proba | vedclass

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

Question

(A) When two dice are rolled, the total number of possible outcomes is $6 	imes 6 = 36$. Let $X$ be the sum of the numbers on the two dice. The possi

Vedclass · Accepted Answer

$\frac{5}{12}$

Vedclass · Answer

(A) When two dice are rolled, the total number of possible outcomes is $6 	imes 6 = 36$. Let $X$ be the sum of the numbers on the two dice. The possible values for $X$ range from $2$ to $12$. The prime numbers in this range are $2, 3, 5, 7, 11$. We calculate the number of outcomes for each sum: - $X=2$: $(1,1) ightarrow 1$ outcome - $X=3$: $(1,2), (2,1) ightarrow 2$ outcomes - $X=5$: $(1,4), (2,3), (3,2), (4,1) ightarrow 4$ outcomes - $X=7$: $(1,6), (2,5), (3,4), (4,3), (5,2), (6,1) ightarrow 6$ outcomes - $X=11$: $(5,6), (6,5) ightarrow 2$ outcomes Total favorable outcomes $= 1 + 2 + 4 + 6 + 2 = 15$. Probability $= \frac{	ext{Favorable outcomes}}{	ext{Total outcomes}} = \frac{15}{36} = \frac{5}{12}$.

Two dice are rolled simultaneously. The probability that the sum of the two numbers on the dice is a prime number is:

Similar Questions

The structure of the compound formed when nitrobenzene is reduced by lithium aluminium hydride $(LiAlH_4)$ is

Where is the $Central$ $Drug$ $Research$ $Institute$ $(CDRI)$ located?

Carbon,Silicon,and Germanium atoms have four valence electrons each. Their valence and conduction bands are separated by energy band gaps represented by $(E_g)_C$,$(E_g)_{Si}$,and $(E_g)_{Ge}$ respectively. Which one of the following relationships is true in their case?

What is the other name for the structure shown in the given figure?

Among the following,the least stable resonance structure is

Vedclass Test Series

Exam Paper Generator

Online Exam Module