In a single throw of 3 dice,find the probabil | vedclass

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

Question

(C) The total number of outcomes when throwing $3$ dice is $6^3 = 216$.Let $E$ be the event of getting a total of at least $5$. It is easier to calcul

Vedclass · Accepted Answer

$\frac{53}{54}$

Vedclass · Answer

(C) The total number of outcomes when throwing $3$ dice is $6^3 = 216$.Let $E$ be the event of getting a total of at least $5$. It is easier to calculate the probability of the complement event $E'$,which is getting a total of less than $5$ (i.e.,a total of $3$ or $4$).Possible outcomes for a total of $3$: $(1, 1, 1)$ - $1$ case.Possible outcomes for a total of $4$: $(1, 1, 2), (1, 2, 1), (2, 1, 1)$ - $3$ cases.Total outcomes for $E'$ (sum is $3$ or $4$) $= 1 + 3 = 4$.$P(E') = \frac{4}{216} = \frac{1}{54}$.Therefore,$P(E) = 1 - P(E') = 1 - \frac{1}{54} = \frac{53}{54}$.

In a single throw of $3$ dice,find the probability of getting a total of at least $5$.

Similar Questions

If two regular six-sided dice are thrown,the probability that the sum will be a prime number is

In a throw of a dice,the probability of getting a $1$ in an even number of throws is:

If out of $20$ consecutive whole numbers two are chosen at random,then the probability that their sum is odd,is

Two coins are tossed. Find the probability that two heads are obtained.

Study the given information carefully to answer the question that follows. An urn contains $4$ green,$5$ blue,$2$ red,and $3$ yellow marbles. If $4$ marbles are drawn at random,what is the probability that $2$ are blue and $2$ are red?

Vedclass Test Series

Exam Paper Generator

Online Exam Module