Question

A chest contains four types of gemstones: 9 rubies, 2 pearls, 6 emeralds, and 7 sapphires. What is the probability that a gemstone chosen at random from this chest is not an emerald?

E. 1/4
F. 1/3
G. 2/3
H. 3/4​

Answer 1

is H. 3/4.

Explanation:

The total number of gemstones in the chest is:

9 rubies + 2 pearls + 6 emeralds + 7 sapphires = 24 gemstones

The number of gemstones that are not emeralds is:

9 rubies + 2 pearls + 7 sapphires = 18 gemstones

Therefore, the probability of choosing a gemstone that is not an emerald is:

(Number of gemstones that are not emeralds) / (Total number of gemstones)

= 18 / 24

= 3/4

Answer 2

option H. 3/4

Explanation:

total outcomes = 9 + 2 + 6 + 7 = 24

total no. of gems which are not emerald = 18

P(E) = no. of total favourable outcome/ no. of total outcomes

P(E) = 18/24 = 6/8 = 3/4

P(E) = 3/4