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1.The number of typing errors on a page follows a Poisson distribution with a mean of 6.3. Find the probability of having exactly six (6)

1.The number of typing errors on a page follows a Poisson distribution with a mean of

6.3. Find the probability of having exactly six (6) errors on a page.

2.One bag contains 6 red, 2 blue, 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?

3.In a viral pool test it is known that in a group of five (5) people, exactly one (1) will test positive. If they are tested one by one in random order for confirmation, what is the probability that only two (2) tests are needed?

4.If one ball each is drawn from 3 boxes, the first containing 3 red, 2 yellow, and 1 blue, the second box contains 2 red, 2 yellow, and 2 blue, and the third box with 1 red,4 yellow, and 3 blue. What is the probability that all 3 balls drawn are different colors?

5.A basket of fruits contains eight (8) apples and ten (10) oranges. Half of the apples and half of the oranges are rotten. If one (1) fruit is chosen at random, what is the probability that a rotten apple or orange is chosen?

6.A small-time bingo card costs P100.00 for 5 games. The prize for three games is P5,000.00, the fourth is P10,000.00 and the last prize is P20,000.00 If 1S,000 bingo cards are going to be sold and you could only win only once, what is the expected value of a ticket?

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