Question

An unbiased dice is thrown. What is the probability of getting an even number or a multiple of 3?

A. 3/2


B. 2/3


C. 5/4


D. 4/3

EXPLAIN EACH TERM AND GIVE ELABORATED ANSWER.

Answer 1

HELLO DEAR,

LET S BE THE SAMPLE SPACE :-

n(S)={1,2,3,4,5,6}=6

LET( C)BE THE,
PROBABILITY( AN EVEN NUMBER Or A MULTIPLE OF 3). IS

C={2,3,4,6}

n(C)=4

$p(c) = \frac{n(c)}{n(s)} \\ = > \frac{4}{6} = \frac{2}{3}$

I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

$Hey \: there \: !! \\ \\ Answer - B) \: \: \frac{2}{3} \\ \\ \\ Let \: n \: be \: \: the Number \: of \: \: favourable \: \: outcome \: \: and \: s \: be \: the \: sum \: of \: \: events \\ \\ \: Then \: given \: \: that - \\ \\ \: Number \: of \: \: \: favourable \: out \: come = 4 ( 2 \: ,4 \: ,6 \: , 3) \\ \\ \: so \: \: \: p \: \: (n) = \frac{4}{6} \\ \\ = \frac{2}{3} \\ \\ Hence \: the \: probability \: \: of \: \: the \: \: even \: \: number \: or \: a \: multiple \: of \: 3 \: is \frac{2}{3} \\ \\ Hope \: this \: would \: \: helps \: you !!$