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In a lottery, the probability of the jackpot being won in any draw is

a What is the probability that the jackpot prize will be won in each of four consecutive draws? 1/60^4

b How many consecutive draws need to be made for there to be a greater than 98% chance that at least
one jackpot prize will have been won?

Sagot :

mickymike92

The probability that the jackpot prize will be won in each of four consecutive draws is (1/60)⁴.

The number of consecutive draws needed will be, n = 233

What is probability?

Probability is the likelihood or chance of an event happening or not.

  • Probability = number of expected outcomes/number of possible outcomes.

From the given question, the probability of the jackpot being won in any draw is 1/60.

The probability that the jackpot prize will be won in each of four consecutive draws will be:

1/60 * 1/60 * 1/60 * 1/60 = (1/60)⁴

b. The number of consecutive draws that needs to be made for there to be a greater than 98% chance that at least one jackpot prize will have been won is calculated as follows:

There is a 100% - 98% chance that that none has been won = 2% that none has been won.

Also, the probability of the jackpot not being won in a draw is = 1 1/60 = 59/60

The number of consecutive draws needed will be (59/60)ⁿ ≤ 0.02

Solving for n by taking logarithms of both sides:

n = 233

In conclusion, probability measures chances of an event occurring or not.

Learn more about probability at: https://brainly.com/question/251701

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