Janessa is playing a board game with two friends. Using a single die, one friend rolled a four, and the other friend rolled a three. Janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning.
What is the sample space for Janessa’s calculation?
Group of answer choices
[3, 4]
[1, 2, 3, 4, 5, 6]
[5, 6]
[1, 2, 5, 6]
Answers
Answer:
[1, 2, 3, 4, 5, 6]
Step-by-step explanation:
Dice have 6 dots. I also took the quiz and it was right
Given,
The number rolled by friend 1 = 4
The number rolled by friend 2 = 3
To Find,
The probability of winning =?
Solution,
The probability of winning = The probability of getting numbers greater than her friends
The probability of winning = The probability of getting numbers greater than 3 and 4
Total sample space = [1,2,3,4,5,6] = 6 numbers
Numbers greater than 3 and 4 = [5,6] = 2 numbers
Probability of getting numbers greater than 3 and 4 = 2 / 6
Probability of getting numbers greater than 3 and 4 = 1/3
Sample pace for Janessa’s calculation = [5, 6]
Hence, the probability of Janessa winning is 1 / 3 and the sample space for Janessa’s calculation is [5,6].