Two dice are tossed once. The probability of | vedclass

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

Question

(D) Let $A$ be the event of getting an even number on the first die. The possible outcomes for $A$ are $(2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (4,1

Vedclass · Accepted Answer

$\frac{20}{36}$

Vedclass · Answer

(D) Let $A$ be the event of getting an even number on the first die. The possible outcomes for $A$ are $(2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)$. Thus,$|A| = 18$.Let $B$ be the event of getting a sum of $8$. The possible outcomes for $B$ are $(2,6), (3,5), (4,4), (5,3), (6,2)$. Thus,$|B| = 5$.The intersection $A \cap B$ contains outcomes where the first die is even and the sum is $8$,which are $(2,6), (4,4), (6,2)$. Thus,$|A \cap B| = 3$.Using the formula $P(A \cup B) = P(A) + P(B) - P(A \cap B)$,we get:$P(A \cup B) = \frac{18}{36} + \frac{5}{36} - \frac{3}{36} = \frac{20}{36} = \frac{5}{9}$.

Two dice are tossed once. The probability of getting an even number on the first die or a total of $8$ is

Similar Questions

The probability of getting head and tail alternately in three throws of a coin (or a throw of three coins) is:

$A$ die is loaded such that the probability of throwing the number $i$ is proportional to its reciprocal. Then the probability that $3$ appears in a single throw is

The probability that a non-leap year contains $53$ Sundays is

In a class of $60$ students,$30$ opted for $NCC$,$32$ opted for $NSS$,and $24$ opted for both $NCC$ and $NSS$. If one of these students is selected at random,find the probability that the student has opted for $NSS$ but not $NCC$.

One card is drawn from a well-shuffled deck of $52$ cards. If each outcome is equally likely,calculate the probability that the card will be a black card (i.e.,a club or a spade).

Vedclass Test Series

Exam Paper Generator

Online Exam Module