1a. Two independent events could be flipping a coin to get heads and rolling a single die to get 4.
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1b. They are independent because one item does not touch the other to affect the outcome.
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1c. The probability of heads is 1/2 as there's 1 side out of 2 total. The probability of getting a 4 is 1/6 as there's one "4" out of six sides total. The probability the two events happen at the same time is 1/2 * 1/6 = 1/12. We can multiply like this because the two events are independent
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2a. Two dependent events could be picking an ace from the deck of cards, not putting it back, and selecting another ace from the same deck.
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2b. We know this is dependent because the second selection's probability changes based on the first selection. This is entirely because the card was not put back.
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2c. Selecting an ace has probability 4/52 = 1/13. We have not put the card back, so we have 4-1 = 3 aces left and 52-1 = 51 cards overall. The probability of getting another ace is 3/51, which is different from 4/52. If we put the card back, then it would be 4/52. The probability of getting two aces in a row, after not putting the first card back, is (4/52)*(3/51) = 12/2652 = 1/221. So as you can see, this is different from the independent section above in that we didn't simply say (4/52)*(4/52), but instead wrote (4/52)*(3/51).
x=5
14x5= 70
70-21=49
this is how I got the answer
The answer depends on the weight of each individual bag. Do you know exactly how heavy each of the bags are? Please be more clear in your question.
Answer: Cindy
Step-by-step explanation:
42/3.5=12 minutes per mile
So Cindy ran faster at 11 minutes per mile