Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Two are jelly-filled, 5 are lemon-filled, and 17 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a lemon-filled donut followed by a custard-filled donut.
A bicycle factory runs two assembly lines, A and
B. 95%
95% of line A’s products pass inspection and 92%
92% of line B’s products pass inspection. 30%
30% of the factory’s bikes come off assembly line B and the rest come off line A. Find the probability that one of the factory’s bikes
did not pass inspection and came off assembly line Upper A
The probability is
( decimal. Do not round.)
2. If the probability of being hospitalized during a year is 0.1, find the probability that no one in a family of three will be hospitalized in a year.
The probability is
. (Round to five decimal places as needed.)
3.
Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Two are jelly-filled, 5 are lemon-filled, and 17 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a lemon-filled donut followed by a custard-filled donut.
( integer or a simplified fraction.)
4.
Consider a political discussion group consisting of 5 Democrats, 9 Republicans, and 6 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Republicans
Republicans.
( integer or a simplified fraction.)
5.
Consider a political discussion group consisting of 5 Democrats, 7 Republicans, and 2 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting no Democrats.
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