independent and dependent event
check if my answers are right
1. tossing a coin twice- independent
2. pulling 2 socks from a drawer at the same time- dependent
3. drawing 2 marbles out of a bag- dependent
4. spinning a spinner 5 times- independent
5. spinning 2 different spinners 2 times- independent
6. drawing names out of hat-independent
7. throwing a pair of number cubes ten times- dependent
8. throwing one number 5 times- dependent
9. picking cards from deck-dependent
10. throwing 3 coins 3 times- independent
change 6
It should be - i , d , d , i , d , i , i , d
i=independent
d=dependent
Your answers are mostly correct. Here are the corrections:
1. Tossing a coin twice: Your answer of independent is correct.
2. Pulling 2 socks from a drawer at the same time: Your answer of dependent is incorrect. This event is independent since taking out one sock does not affect the probability of taking out another.
3. Drawing 2 marbles out of a bag: Your answer of dependent is correct.
4. Spinning a spinner 5 times: Your answer of independent is correct.
5. Spinning 2 different spinners 2 times: Your answer of independent is correct.
6. Drawing names out of a hat: Your answer of independent is incorrect. This event is dependent as the probability of drawing a specific name changes as names are drawn from the hat.
7. Throwing a pair of number cubes ten times: Your answer of dependent is incorrect. This event is actually independent as throwing the pair of number cubes multiple times does not affect the outcome of the previous throws.
8. Throwing one number 5 times: Your answer of dependent is correct.
9. Picking cards from a deck: Your answer of dependent is correct.
10. Throwing 3 coins 3 times: Your answer of independent is correct.
Overall, great job!
Let's evaluate whether your answers for each situation are correct or not.
1. Tossing a coin twice - Independent: Yes, your answer is correct. In this case, the outcome of the first toss does not have any impact on the outcome of the second toss. Each toss is completely independent of each other.
2. Pulling 2 socks from a drawer at the same time - Dependent: Your answer is incorrect. When you pull out two socks at the same time, the second sock you pull out depends on the first sock you pulled out. The probability of pulling a specific sock out changes after the first sock is pulled.
3. Drawing 2 marbles out of a bag - Dependent: Your answer is correct. Similar to the previous situation, the probability of drawing a specific marble changes after the first marble is drawn. Therefore, the events are dependent.
4. Spinning a spinner 5 times - Independent: Yes, your answer is correct. Each spin of the spinner is independent of the previous spins. The outcome of each spin does not affect the outcome of the subsequent spins.
5. Spinning 2 different spinners 2 times - Independent: Yes, your answer is correct. Similar to situation 4, each spin of the spinners is independent of each other. The outcome of spinning one spinner does not affect the outcome of spinning the other spinner.
6. Drawing names out of a hat - Independent: Yes, your answer is correct. Unless specified, each name you draw is independent of the previous draws. The outcome of one draw does not affect the outcome of the next draw.
7. Throwing a pair of number cubes ten times - Dependent: Your answer is incorrect. The outcome of throwing the number cubes can depend on previous throws. For example, if the first number cube shows a 3, it can affect the probability of getting certain sums or numbers with the second number cube.
8. Throwing one number 5 times - Dependent: Your answer is correct. The outcome of each throw is dependent on the previous throws. The probability of getting a specific number changes as you continue throwing.
9. Picking cards from a deck - Dependent: Yes, your answer is correct. The probability of drawing a specific card from the deck changes after each card is drawn. The events are dependent on previous draws.
10. Throwing 3 coins 3 times - Independent: Yes, your answer is correct. Each throw of the coins is independent of the previous throws. The outcomes of the previous throws do not affect the outcomes of the subsequent throws.
Overall, you had 8 correct answers and 2 incorrect answers.