Are the two events dependent or independent? Explain.
a. Toss a dime, and then toss a quarter.
b. Pick a card from a deck of cards. Keep the card and pick anot
I remember learning this. I'll show you how to do number 1.
Think, does tossing the dime affect the outcome of tossing the quarter.
And for number 2, would taking out a card from the deck affect what card you would get next?
If you need more help, respond again. Hope I helped!
The answer is no the first card doesn't affect what card you could draw next. Just like the dime doesn't affect the quarter. They are two different variables.
Melissa gave Bonnie some coins and this puzzle here are 16 pennies 12 nickels and 10 dimes take a way the fewest possible coins so that you leave 3 times as many pennies as dimes, and half as many dimes as Nickels. What coins did Bonnie Take away to solve the puzzle?
To determine if two events are dependent or independent, we need to consider whether the outcome of one event affects the outcome of the other event.
a. Toss a dime and then toss a quarter:
These two events are independent. The outcome of tossing a dime does not affect the outcome of tossing a quarter. The likelihood of getting either heads or tails on the dime does not impact the likelihood of getting heads or tails on the quarter. Each toss is unrelated and has its own separate outcome.
b. Pick a card from a deck of cards and keep the card, then pick another card:
The dependence or independence of these two events depends on whether the first card is put back into the deck or not. If the first card is put back into the deck before picking the second card, the events are independent. The probability of picking a particular card remains the same for each draw, regardless of whether the same card was drawn previously. Each draw is independent of the others.
However, if the first card is not put back into the deck, the events are dependent. The probability of picking a particular card for the second draw is influenced by the outcome of the first draw. Since the first card is not returned to the deck, there is one less card available for the second draw, affecting the probability of different cards being drawn.
Therefore, the answer depends on whether the first card is returned to the deck or not after the first draw.