# mathematics

a. Provide two independent events that you know the probability of.

b. Explain how you know these events are independent.

c. Find the probability that they both occur.

a. Provide two dependent events.

b. Explain how you know these events are dependent.

c. Explain why these dependent events might require a different method for calculating the probability of both events occurring.

Please number your responses to the questions as they are shown (1a, 1b, 1c, 2a, 2b, and 2c).

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1. No one is going to do this entire assignment for you. However, if you try and if you post your answers, a math tutor might check your work.

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Writeacher
2. An independent event is an event not affected by the previous action

1.You toss a coin and it comes up "heads" three times ( the toss is independent because it doesn't matter how many times you flip it, it will still be a 0.5 chance of you flipping the coin on tails.)

2. In a stack of 2 cards, you pick the number 7 every time the deck is shuffled. You still have a 50% chance of picking the 5.

A dependent event is an event affected by the previous action.

1. removing colored marbles from a bag. Each time you remove a marble the chances of drawing out a certain color will change. This event is dependent because the previous action depends on the future outcome. The reason why this event needs different calculations is that the number of marbles needs to be noted and which marble you picked, to make an accurate calculation.

2. A card is chosen at random from a standard deck of 52 playing cards. Without replacing it, a second card is chosen. What is the probability that the first card chosen is a queen and the second card chosen is a jack? This is also an example of a dependent event because the previous action depends on the second outcome.

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