4) A number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 5.
A. 1/6***
B. 1/3
C. 1/4
D. 2/3
An 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
A. 0.07
B. 0.17
C. 0.26
D. 0.83
I DON'T UNDERSTAND THIS ONE!
A survey showed that 62% of cars prefer two door cars and 26& prefer four door cars and 12% have no preference you ask 400 people how many do you think will prefer two door cars?
A. 126 people
B. 152 people
C. 196 people
D. 248 people***
The spinner is divided into equal parts use a tree diagram to find the proabbilty that the spinner will land ona consonant both times if the spinnes is spun twice ( there is a circle with 3 equal parts 1 part ha letter N the second E and the third U)
A. 1/9
B. 1/3
C. 5/9
D. 3/4
which events are not indepentents
A. landing on heads after tossing a coin and rolling a 3 on a 6 sided number cube
B. choosing a marble from a jar landing ona tails after tossing a coin
C. choosing a 5 froma deck of cards replacing it then choosing an ace as the second card
D. choosing a card at random from a deck without replacing it and choosing another card at random
An 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
A. 0.07
B. 0.17
C. 0.26
D. 0.83
I DON'T UNDERSTAND THIS ONE!
Pr(exp)=Pr(2)+Pr(3)=(26+36)/360=.17
D is not independent
spinner: 1/9
others correct
thx so much!
4) To find the probability of rolling a number greater than 5 on a number cube, we need to determine the number of favorable outcomes (possible numbers greater than 5) and divide it by the total number of possible outcomes (all numbers on the cube).
In this case, there is only one favorable outcome (the number 6) and six total possible outcomes (numbers 1 through 6). Therefore, the probability is 1/6. So the correct answer is A. 1/6.
Experimental probability is calculated by dividing the number of favorable outcomes by the total number of outcomes from a given experiment. In this case, the experiment is rolling a number cube 360 times.
The table given shows the results of rolling the number cube, so we need to determine the total number of favorable outcomes (rolling a 2 or a 3) and divide it by the total number of outcomes (360 rolls).
From the table, we can see that there are 26 twos and 36 threes, which gives us a total of 26 + 36 = 62 favorable outcomes. Therefore, the experimental probability is 62/360, which can be simplified to 31/180.
None of the options provided exactly match this probability. However, we can estimate the closest option by simplifying it or converting it to a decimal.
If we simplify 31/180, we get approximately 0.17. So the closest option is B. 0.17.
For the third question, we are given the results of a survey where 62% of cars prefer two-door cars, 26% prefer four-door cars, and 12% have no preference.
To find the number of people who prefer two-door cars out of 400 people, we multiply 62% (or 0.62) by 400:
0.62 * 400 = 248
Therefore, the answer is D. 248 people.
A tree diagram is a visual tool that helps us calculate the probability of multiple events happening in succession. In this case, we need to find the probability of the spinner landing on a consonant twice in a row.
From the given description, we know that the spinner has 3 equal parts labeled N, E, and U. Since we're looking for the probability of landing on a consonant (not a vowel), we need to determine how many of the outcomes are unfavorable (vowels). In this case, the letter E is the only vowel.
Since each spin has three possible outcomes, and only one of those outcomes is unfavorable, the probability of landing on a consonant twice in a row is (2/3) * (2/3) = 4/9.
Therefore, the correct answer is C. 5/9.
To determine which events are not independent, we need to consider whether the occurrence of one event affects the probability of the other event happening.
A) Landing on heads after tossing a coin and rolling a 3 on a 6-sided number cube: These events are independent since the outcome of a coin toss does not affect the probability of rolling a 3 on a number cube. So option A is not correct.
B) Choosing a marble from a jar and landing on tails after tossing a coin: These events are independent since the outcome of choosing a marble does not affect the probability of tossing a coin and landing on tails. So option B is not correct.
C) Choosing a 5 from a deck of cards, replacing it, and then choosing an ace as the second card: These events are independent since the replacement of the first card restores the original probability of choosing an ace as the second card. So option C is not correct.
D) Choosing a card at random from a deck without replacing it and choosing another card at random: These events are dependent since the probability of choosing the second card depends on what card was chosen first and not replacing it. So option D is the correct answer.
Therefore, the answer is D. choosing a card at random from a deck without replacing it and choosing another card at random.