Liking cupcakes and brownies are independent since P(cupcakes|brownies)β=βP(cupcakes) and P(brownies|cupcakes)β=βP(brownies).
Step-by-step explanation:
And for the rest of the quiz ill drop the answers here:
1.A spinner has three equally sized sectors numbered 1, 3, and 5. The spinner is spun once and a coin is tossed. H represents heads, and T represents tails.
What is the sample space of outcomes?
ANSWER:{1H,β3H,β5H,β1T,β3T,β5T}
2.A six-sided number cube is rolled twice.
What is the number of possible outcomes?
ANSWER: 36
3.There are two spinners. The first spinner has three equal sectors labeled 1, 2, and 3. The second spinner has four equal sectors labeled 3, 4, 5, and 6. The spinners are spun once.
How many outcomes do not show an odd number on the first spinner and show a 3 on the second spinner?
ANSWER:1
4.Which events are independent?
Select each correct answer.
ANSWER: Two number cubes are rolled at the same time.
and A spinner is spun and a coin is flipped.
5.Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper.
What is the probability of selecting a multiple of 3 and then a multiple of 4?
ANSWER:1/15
6.A spinner has 8 equal sectors labeled from 1 to 8. The spinner is spun twice.
What is the probability of getting an even number on the first spin and another even number on the second spin?
ANSWER:1/4
7.A and B are two events.
Given that P(A)=0.25 , P(B)=0.3 and P(AβandβB)=0.05 .
Drag and drop the answers into the boxes to correctly complete the statement.
ANSWER:Events A and B are NOT INDEPENDENT because P(A|B)β P(A)
8.A group of children were asked if they like eating cupcakes or brownies.
The table shows the probabilities of the results.Which statement is true?
ANSWER:Liking cupcakes and brownies are independent since P(cupcakes|brownies)β=βP(cupcakes) and P(brownies|cupcakes)β=βP(brownies).
9.Which statement best explains conditional probability and independence?
ANSWER:When two separate events, A and B, are independent, P(A|B)=P(A). This means that the probability of event B occurring first has no effect on the probability of event A occurring next.
10.The probability of drawing two red candies without replacement is 1335, Β and the probability of drawing one red candy is 25.
What is the probability of drawing a second red candy, given that the first candy is red?
ANSWER:13/14
11.John has a spinner with eight equal sectors with labels from 1 to 8. He spins the spinner once.
What is the probability that he gets a number less than 4 or a multiple of 4?
ANSWER:5/8
12.A spinner has ten equal sectors labeled from 1 to 10. The spinner is spun once.
What is the probability of getting an odd number and a number greater than 4?
ANSWER:3/10
HOPE THIS HELPS ANYONE TAKING THE Unit 6 Test: Counting and Probability - Part 1, THAT GOES TO K12.
:)
I wanted to also say that these are 1000% true answers, i wouldnt
answer any false nonsense.