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Chapter 8: Problem 419
If a card is drawn from a deck of playing cards, what is the probability that it will be a jack or a ten?
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A die is tossed five times. What is the probability that an ace will appear: (a) at least twice; (b) at least once?
A box contains 10 white balls, 10 green balls, 10 yellow balls and 10 blue balls. Two balls are drawn from the box. Find the probability that both balls are yellow.
In a factory four machines produce the same product. Machine A produces \(10 \%\) of the output, machine B, \(20 \%\), machine C, \(30 \%\), and machine \(\mathrm{D}, 40 \% .\) The proportion of defective items produced by these follows: Machine A: .001; Machine B: .0005; Machine C: .005; Machine D: .002. An item selected at random is found to be defective. What is the probability that the item was produced by A? by B?- by C? by \(\mathrm{D} ?\)
Find the probability that three successive face cards are drawn in three successive draws (without replacement) from a deck of cards. Define Events \(\mathrm{A}, \mathrm{B}\), and \(\mathrm{C}\) as follows: Event A: a face card is drawn on the first draw, Event \(B\) : a face card is drawn on the second draw, Event \(C\) : a face card is drawn on the third draw.
Find the probability that on a single draw from a deck of playing cards we draw a spade or a face card or both. Define Events \(A\) and \(B\) as follows: Event A: drawing a spade, Event B: drawing a face card.
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