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 June 21st, 2011, 06:06 AM #1 Newbie   Joined: Jun 2011 Posts: 3 Thanks: 0 licensed driver probability I am having trouble knowing if I add or multiply with this problem: Male Female Age 19 and under 4746 4517 Age 20 1625 1553 Age 21 1679 1627 Choose one driver at random. Find the probability that the driver is Male and 19 or under. Now, do I find the product of the number of males and the number of drivers 19 or under? Or do I add and subtract: (the number of males) + (number of 19 or under) - (number of males that are 19 or under)
 June 21st, 2011, 06:08 AM #2 Newbie   Joined: Jun 2011 Posts: 3 Thanks: 0 Re: licensed driver probability Age 19 and under male:4746 female: 4517 Age 20 male:1625 female:1553 Age 21 male:1679 female:1627
 June 21st, 2011, 06:23 AM #3 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,945 Thanks: 1135 Math Focus: Elementary mathematics and beyond Re: licensed driver probability The solution is (number of males 19 and under)/(total number of drivers) = 4746/(4746 + 4517 + 1625 + 1553 + 1679 + 1627) = 4746/15747 = 1582/5249 ? 0.30 ? 30%.
June 21st, 2011, 06:34 AM   #4
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Quote:
 Originally Posted by greg1313 The solution is (number of males 19 and under)/(total number of drivers) = 4746/(4746 + 4517 + 1625 + 1553 + 1679 + 1627) = 4746/15747 = 1582/5249 ? 0.30 ? 30%.
Thanks! I should have known it would have been as simple as that.

June 21st, 2011, 06:49 AM   #5
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Hello, bullshark818!

Quote:
 I am having trouble knowing if I add or multiply with this problem.[color=beige] . [/color][color=blue]Neither![/color] $\begin{array}{|c|c|c|c|} \text{Age} & \text{Male} & \text{Female} & \text{Total} \\ \hline \le 19 & 4746 & 4517 & 9263 \\ 20 & 1625 & 1553 & 3178 \\ 21 & 1679 & 1627 & 3306 \\ \hline \text{Total} & 8050 & 7697 & 15,747 \\ \hline\end{array}$ Choose one driver at random. Find the probability that the driver is Male and 19 or under.

This is the simplest possible probability problem!

There are 4746 drivers who are male and 19 or under.
There is a total of 15,747 drivers.

$\text{Therefore: }\:P(\text{male}\,\wedge\,\le19) \;=\;\frac{4746}{15,747} \;=\;\frac{1582}{5249} \;\approx\;0.301$

,

### choose one driver at random. find the probability that the driver is male and 19 or under

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