Question

A bag contains 3 black, 8 yellow, 2red and 5 white marbles. what is the probability of choosing a marble which is : (a) yellow (b) Not black (c) Black or red.​

Answer 1

Step-by-step explanation:

Given that:A bag contains 3 black, 8 yellow, 2red and 5 white marbles

To find:what is the probability of choosing a marble which is : (a) yellow (b) Not black (c) Black or red.

Solution:

$\bold{Probability = \frac{Favourable \: Outcomes}{Total \: Outcomes}}$

Case1: Favourable outcomes for yellow marbles= 8

n(Y)=8

Total marbles in bag n(T)=18

Probability of choosing yellow marble

P(Y)= n(Y)/n(T)

=8/18

P(Y)=4/9

Case2: Favourable outcomes for not black marbles= 15

n(NB)=15

Total marbles in bag n(T)=18

Probability of choosing not black marble

P(NB)= n(NB)/n(T)

=15/18

P(NB)=5/6

Case3: Favourable outcomes for black or red marbles = 5

n(BUC)=5

Total marbles in bag n(T)=18

Probability of choosing black or red marble

P(BUC)= n(BUC)/n(T)

P(BUC)=5/18

Hope it helps you.