A standard number cupe with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
A 1/3;2/3
B 1/2;1/2
C 5/6;1/2
D 1/6;5/6
The numbers less than 3 are 1 and 2, so there are two possible outcomes out of six. Therefore, the probability of rolling a number less than 3 is 2/6 or 1/3.
The numbers not less than 3 are 3, 4, 5, and 6. There are four possible outcomes out of six. Therefore, the probability of not rolling a number less than 3 is 4/6 or 2/3.
Answer: A) 1/3;2/3
A number cupe is rolled 360 times and the results are recorded as follows: 54 ones, 60 twos, 66 threes, 71 fours, 35 fives, and 74 sixes. What is the experimental probability of rolling a two or a three?
A 0.15
B 0.1
C 0.35
D 0.65
The number of times a two or a three is rolled is the sum of the number of twos and the number of threes, which is 60 + 66 = 126. The total number of rolls is 360. Therefore, the experimental probability of rolling a two or a three is 126/360 or 0.35.
Answer: C) 0.35
To find the probability of rolling a number less than 3, we need to determine the number of favorable outcomes (rolling a number less than 3) and divide it by the total number of possible outcomes.
1. Number of favorable outcomes: There are two numbers less than 3 (1 and 2) on a standard six-sided die.
2. Total number of possible outcomes: On a standard six-sided die, there are six numbers (1, 2, 3, 4, 5, and 6).
Now, we can calculate the probability:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 2 / 6
= 1/3
Therefore, the probability of rolling a number less than 3 is 1/3.
To find the probability of not rolling a number less than 3, we can subtract the probability of rolling a number less than 3 from 1.
Probability = 1 - Probability of rolling a number less than 3
= 1 - 1/3
= 2/3
Therefore, the probability of not rolling a number less than 3 is 2/3.
Therefore, the correct answer is A) 1/3; 2/3.