Calculate the probability of the following events. Make sure to reduce your answers to decimals You...

Calculate the probability of the following events. Make sure to reduce your answers to decimals
1. You have a box of 100 raffle tickets. There will be two tickets drawn to determine the winners of the raffle. What’s the probability that you and your best friend both win the raffle? Assume that the drawing will be conducted without replacement.
2. You have a box of 200 raffle tickets. There will be one ticket drawn to determine the winner of the raffle. What’s the probability that you or your best friend, or your roommate wins the raffle?
3. You have a bag of marbles. In the bag are 3 green marbles, 2 blue marbles, and 6 red marbles. What is the probability of drawing 4 red marbles in 4 consecutive draws from the bag? Assume you’re sampling randomly and with replacement.

Expert Solution

a.

The total number of ways in which the two raffle tickets can be drawn is :

and there is only one favorable way (so that both the people win the raffle). Thus:

b.

There are a total of 200 ways of selecting the raffle ticket and out of these only 3 are favorable (since we want any one of the three parties to win). Thus:

c.

Since, we are sampling with replacement, the probability of drawing a red marble at each of the 4 draws remains same.

Now, since there are a total of 11 marbles in the bag out of which 6 are red. Thus, at each draw the probability of drawing a red marble is 6/11

Thus:

For any queries, feel free to comment and ask.

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orchestra answered 1 year ago

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