Question

Erin, Elizabeth, and Anna are playing a game. Their probabilities of winning the game are as follows:

Answer 1

Answer:

1/3 is the answer

Answer 2

The complete question is,

Erin, Elizabeth, and Anna are playing a game. Their probabilities of winning the game are as follows:

P(Erin wins)=0.3

P(Anna wins)= 1/2

P(Elizabeth wins)=20%

Which of these events is the least likely possible?

From given, we have,

There are 3 players Erin, Elizabeth, and Anna.

Given options are:

P(Erin wins) = 0.3 = 1/3  

This probability can be possible if Erin wins over both Anna and Elizabeth.

P(Anna wins) = 1/2

This probability can also be possible if Anna wins over Erin or Anna wins over Elizabeth.

P(Elizabeth wins) = 20% = 20/100 = 1/5

This probability is least likely possible, as there are only 3 players playing the game  and not 5 players.

Therefore, P(Elizabeth wins) = 20% is least likely possible.