Texas Instruments TI-82 User Manual - Page 48
Getting Started: Lottery Chances
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Getting Started: Lottery Chances Getting Started is a fast-paced introduction. Read the chapter for details. Suppose you want to enter a lottery where 6 numbers will be drawn out of 49. To win, you must pick all 6 numbers (in any order). What is the probability of winning if you buy one ticket? What is the probability of winning if you buy five tickets? 1. Determine the number of combinations possible. On the Home screen, press 49 to enter the total number of items. Press | to display the MATH PRB menu. Press 3 or † † Í to select nCr. Press 6 to enter the number of items selected. 2. Press Í to evaluate the expression. This is the total number of possible combinations of 6 numbers drawn from a set of 49 numbers. With one ticket, you have one chance in 13,983,816 of winning. 3. To calculate the probability of winning with one ticket, press 1 ¥ y ãANSä Í. The answer is expressed in scientific notation on the TI.82 because it is so small. The decimal equivalent is 0.00000007151123842. 4. To calculate the probability of winning with five tickets, press ¯ 5 Í. Again, the answer is too small to display in fixed notation. The decimal equivalent is 0.0000003575561921. 2-2 Math, Angle, and Test Operations
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