Respuesta :
Answer:
The answer to the question is
The probability of winning second prize (that is, picking five of the six winning numbers) with a 6/44 lottery, as played in Connecticut, Missouri, Oregon, and Virginia is 3.49905×10⁻⁵≡ 0.00003 to five decimal places.
Step-by-step explanation:
The probability of winning the second prize or picking five of the six winning numbers) with a 6/44 lottery is given by
Number of 5 sets of numbers in 44 = ₄₄C₅ = 1086008 ways
Number of 5 set of winning numbers in 44 = 1
Number of ways of picking the last number to make it 6 numbers is given by
44 - 5 lucky numbers - The 1 winning number = 38
Therefore, there are 38 ways from 1086008 of selecting the 5 second place winning numbers
Therefore the probability of picking the 5 second place winning numbers is [tex]\frac{38}{1086008}[/tex] = 3.49905×10⁻⁵
