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Oxana [17]
4 years ago
8

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?
Mathematics
1 answer:
EastWind [94]4 years ago
6 0

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 probability that the train will be there when Alex arrives is 0.1.

Given that the time that  train arrives between 1:00 P.M to 2:00 P.M. and waits for 10 minutes. Alex arrives between 1:00 P.M to 2:00 P.M.

We are required to find the probability that the train when Alex arrives.

Probability is the likeliness of happening an event among all the events that are possible to happen.

Probability=Number of items/total number of items.

Number of combinations of timings in which the train may have arrived=60/10=6 combinations

Number of ways in which Alex arrives at the station=60.

Probability=6/60

=1/10

=0.1

Hence the probability that the train will be there when Alex arrives ie 0.1.

Question is incomplete. The following things should be included:

Timing in which train arrives is between 1:00 P.M and 2:00 P.M.The train waits for 10 minutes. Alex arrives between 1:00 P.M and 2:00 P.M.

Learn more about probability at brainly.com/question/24756209

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4 0
1 year ago
True of False: When creating a construction exact measurements are used.
Nitella [24]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
Plz help with this!!!
Pachacha [2.7K]
4x - y = 61 
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3 years ago
20. Write an expression: Alexis has $10 less than twice the amount that David has. If David has
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Answer:

2x - 10

Step-by-step explanation:

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Each month, Matthew gets a $25 allowance and earns $100 mowing lawns. He uses the expression 25x + 100y to keep track of his ear
allochka39001 [22]
<span>Part A
</span>The variables would be x and y where as the coefficients would be 25 and 100

Part B
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<span>Part C
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3 years ago
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