A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 4. (1 point)
start fraction 1 over 6 end fraction
start fraction 1 over 3 end fraction
start fraction 5 over 6 end fraction
start fraction 2 over 3 end fraction
The probability of rolling a number greater than 4 is 2 out of 6, or start fraction 1 over 3 end fraction. Answer: \boxed{\text{B) } \text{start fraction 1 over 3 end fraction}.}
A number cube is rolled 360 times, and the results are recorded as follows: 61 ones, 26 twos, 36 threes, 76 fours, 73 fives, and 88 sixes. What is the experimental probability of rolling a 2 or a 3? (1 point)
0.07
0.17
0.26
0.83
The experimental probability of rolling a 2 or a 3 can be calculated by adding the number of times a 2 and a 3 were rolled, and dividing by the total number of rolls:
Experimental probability = (26 + 36) ÷ 360 = 0.17
Therefore, the answer is \boxed{\text{B) }0.17}.
To find the probability of rolling a number greater than 4 on a standard number cube, we need to determine the number of favorable outcomes (rolling a number greater than 4) and the total number of possible outcomes (rolling any number on the cube).
The numbers greater than 4 on a standard number cube are 5 and 6. So, there are 2 favorable outcomes.
The total number of outcomes on a standard number cube is 6, since there are 6 sides with numbers 1 through 6.
Therefore, the probability of rolling a number greater than 4 is given by the ratio of favorable outcomes to total outcomes, which is 2/6.
Simplifying this fraction gives us the probability:
2/6 = 1/3
So, the correct answer is start fraction 1 over 3 end fraction.