In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 45) and matching the number on the gold ball (1 through 35). If one ticket is purchased, what is the probability of winning the jackpot?
1 answer:
Answer:
the probability of winning the jackpot is <em>1 in 42 761 565 </em>.
Step-by-step explanation:
The number of ways to select five numbers from 45 is:
ⁿCₐ = n! / (n - a)! × a!
where
a is the number of objects n is the number of distinct objects
Therefore,
⁴⁵C₅ = 45! / (45 - 5)! × 5!
= (45 × 44 × 43 × 42 × 41) / (5 × 4 × 3 × 2 × 1)
= 1221759
There are 35 ways to select a gold ball. Therefore, the total number of ways to get 6 matching numbers is:
1221759 × 35 = <em>42 761 565 </em>
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The 7 in 701,280 is in the hundred thousands place.
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Answer:
3x=36, so x=12
Step-by-step explanation:
Answer:
Numbers greater than 4 are 5 and 6
So we have 2 numbers out of 6 numbers so the probability is equal to 2/6 = 1/3
And 1/3 of 12 is equal to 4
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Four times.
Answer:
the correct answer is C). 3,600
Step-by-step explanation:
divide 36,000 by 10 and you get your answer hope this helps
p.s. you,re pretty
