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
6. How is drawing names different from pulling socks (assuming no replacement)?
7. Will the numbers be effected by the other cube or the repeated throws?
Otherwise the answers look good.
Your answers are mostly correct, but there are a few that need clarification. Let's go through each scenario and determine whether it involves independent or dependent events.
1. Tossing a coin twice - Independent
You are correct. Tossing a coin twice is an example of independent events because the outcome of the first coin toss does not affect the outcome of the second toss.
2. Pulling 2 socks from a drawer at the same time - Dependent
Your answer is incorrect. Pulling 2 socks from a drawer at the same time would be an example of dependent events. This is because the probability of picking the second sock depends on the first sock that was picked. If the first sock is blue, for example, the probability of picking a second blue sock will be affected.
3. Drawing 2 marbles out of a bag - Dependent
You are correct. Drawing 2 marbles out of a bag would involve dependent events because the probability of picking the second marble depends on the outcome of the first draw.
4. Spinning a spinner 5 times - Independent
You are correct. Spinning a spinner 5 times would be an example of independent events because the outcome of each spin does not affect the outcome of subsequent spins.
5. Spinning 2 different spinners 2 times - Independent
You are correct. Spinning two different spinners two times would be an example of independent events because the outcome of one spinner does not influence the outcome of the other spinner.
6. Drawing names out of a hat - It depends on the context
Drawing names out of a hat could be either independent or dependent depending on the specific conditions. If the names are replaced after each draw, making each draw equivalent to the first one, then it would be independent. However, if the names are not replaced, the probability of picking subsequent names will change, making it dependent.
7. Throwing a pair of number cubes ten times - Dependent
Your answer is incorrect. Throwing a pair of number cubes ten times would be an example of independent events. The result of each throw does not affect the outcome of subsequent throws.
8. Throwing one number 5 times - Dependent
You are correct. Throwing one number 5 times would be an example of dependent events because the probability of getting the same number on each throw depends on the outcome of previous throws.
9. Picking cards from a deck - Dependent
You are correct. Picking cards from a deck involves dependent events because the probability of picking the next card depends on the cards already drawn.
10. Throwing 3 coins 3 times - Independent
You are correct. Throwing 3 coins 3 times would be an example of independent events because the outcome of each coin toss does not affect the outcome of subsequent tosses.
Remember, whether an event is independent or dependent can vary depending on the context and specific conditions of the situation.