One factory is manufactures to sell masks during the epidemic. The factory produces blue, black, white and green masks containing 4 different colors, 20%, 30%, 40% and 10% respectively. The factory researcher found that its masks sold were by 60% of black masks, by 5% of green masks, by 50% of white masks and by 40% of blue masks. a) Define the events and indicate the given probabilities? b) What is the probability that total sales of masks produced by color?

Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?

I'm confused as to what distrubution I should use to solve this probability. When tall and colorful plants are crossed with short and colorless plants, four types of plants will result:  tall and colorful, tall and colorless, short and colorful, and short and colorless with corresponding probabilities:  0.37, 0.42, 0.11, and 0.10. Ten plants are selected. Find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will be short and colorless.

Dr. Cy Clopps is ophthalmologist and owner of the Spex Appeal Eye Clinic.  A review of 100 patient’s records indicated that 30 of these patients have vision insurance.  Further, 35 of the 100 patients got bifocal glasses but had no insurance.  Finally, 10 of the 100 patients had insurance but did not get bifocals.  d.  Of those with insurance, what proportion got bifocals? e.Are the events independent?  Mutually exclusive?  Collectively exhaustive?