1. All patients suspected of having a particular type of cancer are tested by two separate labs. The probability that Lab A produces a positive test for any patient with cancer is 0.26, whereas Lab B is 0.26. If the probability that both labs simultaneously produce a positive test for any patient with cancer is 0.16, what is the probability at least one lab will produce a positive test? Round your answer to four decimal places.

2. A coin is tossed 8 times. What is the probability of getting heads exactly one time?Round your answer to five decimal places.

3.A plane has 16 rows of seats and 11 seats per row. What is the probability that you get a window seat in the second row, where there are only two window seats in a given row? Round your answer to five decimal places.

4 .InMendel's genetic experimentsmany characteristics of the plants were quantified, such as their height (tall or short), flower position (axial or terminal), and seed color (colored or white). Suppose 100plants are measured, and35 are tall with axial flowers and colored seeds. Further, suppose a total of25 plants have white seeds,3 of them being short and7 having terminal flowers. There are no short plants with terminal flowers, and the total number of short plants is20. What is the probability a randomly selected plant will have flowers in the terminal position? Round your answer to three decimal places.

5. Consider a collection of 15 balls, 5 of which are octarine. If we have 15 balls divided into two groups, using an unknown system of making these groups, and Group 1 has 4 balls and Group 2 has 11 balls.

If the groups are created randomly, without reference to ball colour, what is the probability of 3 of the 5 octarine balls ending up in Group 1?

Round your answer to five decimal places.