Question

Taylor is playing a board game with two friends. Using a single dice, one friend rolled a one, and the other friend rolled a three. Taylor needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. Is the probability of Taylor winning an independent even or dependent even? Why?

A. Her probability of winning is a dependent event because it doesn’t depend on the results of her friends roll
B. Her probability of winning is an independent event because it doesn’t depend on the results of her friends rolls
C. Her probability of winning is dependent event because it depends on the results of her friends rolls
D. Her probability of winning is an independent event because it depends on the results of her friends roll

Answer 1

Answer: C. Her probability of winning is dependent event because it depends on the results of her friends rolls.

Step-by-step explanation: In probability, dependent event is an event that is affected by the outcome of another event.

In a dice there are 6 possibilities: numbers 1, 2, 3, 4, 5 and 6. To win the game, Taylor has to roll a number higher than 1 or 3, i.e. she has to roll the numbers 4, 5 or 6.

The probability of that happening is: P(a) = 3/6 = 1/2 = 50%.

Therefore, the events are dependents, because it depended on the outcome of the friends playing the game.