One of the UK lottery systems consists of selecting six numbers from forty-nine for a one-pound stake. The winning numbers are drawn at random and the order is not important. Determine the probability that a randomly selected set of six numbers will win the lottery.

4.167 × 10-6
8.63 × 10-7
5.467 × 10-6
7.15 × 10-8

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Question

15-05-2018
Mathematics

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One of the UK lottery systems consists of selecting six numbers from forty-nine for a one-pound stake. The winning numbers are drawn at random and the order is not important. Determine the probability that a randomly selected set of six numbers will win the lottery.

4.167 × 10-6
8.63 × 10-7
5.467 × 10-6
7.15 × 10-8

Will mark branliest

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carlosego carlosego · Answer 1 · 2018-05-15T21:53:16+02:00

As in this problem the order of numbers does not matter We are talking about a combination and not to permutation.
So to determine the probability that a set of six randomly selected numbers wins the lottery we need to first draw the combination of 6 in 49 without repetition:
C (49.6) = 49! / (6! (49-6)!) = 13983816
Then there are 13983816 combinations of possible numbers for this case.
Finally the probability is:
p = 1/13983816
p = 7,151 x10 ^ -8
The correct option is the last

ashbs03 ashbs03 · Answer 2 · 2019-02-01T22:45:29+01:00

ashbs03 ashbs03

01-02-2019

Answer:

The last answer is correct

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