What is the probability of winning a lottery in which you must choose 5 numbers from the numbers 1 through 15? What is the probability of winning assuming that the order matters?
Added by Kristina B.
Step 1
You must choose 5 numbers out of 15 without regard to order. The number of combinations is given by the binomial coefficient: \[ \binom{15}{5} = \frac{15!}{5!(15-5)!} = \frac{15!}{5! \cdot 10!} \] Show more…
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A lottery game is set up so that each player chooses six different numbers from 1 to 15. If the six numbers match the six numbers drawn in the lottery, the player wins (or shares) the top cash prize. What is the probability of winning the prize with 50 different lottery tickets?
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'26. lottery game is set up so that each player chooses six different numbers from t0 15. If the six numbers match the six numbers drawn in the lottery: the player wins (or shares) the top cash prize. What is the probability of winning the prize with 50 different lottery tickets?'
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