The Sorry State Lottery requires you to select five different numbers from 0 thr

Question

The Sorry State Lottery requires you to select five different numbers from 0 through 46. (Order is not important.) You are a Big Winner if the five numbers you select agree with those in the drawing, and you are a Small-Fry Winner if four of your five numbers agree with those in the drawing. (Enter your answers as exact answers.)

What is the probability of being a Big Winner?

What is the probability of being a Small-Fry Winner?

What is the probability that you are either a Big Winner or a Small-Fry Winner?

Explanation / Answer

1) Total outcomes = 5 numbers from 46 numbers = 46C5 = 1370754

Favourable outcome = Match all the chosen 5 ballls = 5C5 = 1

P(Big Winner) = 1/1370754 = 0.00000072953

2) Total outcomes = 1370754

Favorable outcomes = Match exactly 4 number = 5C4 * 41C1 = 205

P(Small Winner) = 205/1370754 = 0.00014955

3) P(Big winner or small winner) = Sum of previous 2 probabilities = 1/1370754 + 205/1370754 = 103/685377
= 0.00015028

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.