SOLUTION: One state’s lottery consists of a person choosing 5 different numbers, each between 1-50. Find the probability of matching all five numbers if…
a.) order matters
b.) order do
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a.) order matters
b.) order do
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Question 1191355: One state’s lottery consists of a person choosing 5 different numbers, each between 1-50. Find the probability of matching all five numbers if…
a.) order matters
b.) order does not matter
*Please use the P(A)=number of outcomes in event A/total numbers of outcomes formula* Answer by ikleyn(52788) (Show Source):
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One state’s lottery consists of a person choosing 5 different numbers, each between 1-50.
Find the probability of matching all five numbers if…
a) order matters
b) order does not matter
*Please use the P(A)=number of outcomes in event A/total numbers of outcomes formula*
~~~~~~~~~~~~~~~~~
(a) If the order matters, then
total numbers of outcomes = 50*49*48*47*46 = 254251200
(the product of 5 consecutive integer numbers in descending order, starting from 50);
number of favorable outcomes = 1.
The probability is P = . ANSWER
(b) If the order does not matter, then
total numbers of outcomes = = = 2118760
(the number of combinations of 50 items taken 5 at a time);
number of favorable outcomes = 1.
The probability is P = . ANSWER
