If you buy 1 ticket in canada's lotto 6/49 lottery game, the probability that you will win a prize is 0.15. Given the nature of lotteries, the probability of winning is independent from month to month. If you buy 1 ticket each month for five months, what is the probability that you will win at least one prize?

Probabilities are used to determine the chances of events.

The probability that you win at least one prize is 0.5563

The given parameters are:

--- the probability of winning

The probability of losing (q) is then calculated using the following complement rule

The probability that you win at least one prize is the complement of not winning at all.

So, we have:

This gives

Evaluate like terms

Hence, the probability of winning at least one prize is 0.5563

Read more about probabilities at:

link

0.5563

Step-by-step explanation:

Given that :

Probability of winning (p) = 0.15

Number of months = number of trials (n) = 5

1 - p = 1 - 0.15 = 0.85

Probability of winning atleast one price ;

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x≥1) = p(1) + p(2) + p(3) + p(4) + p(5)

Using the binomial probability calculator to save computation time :

P(x≥1) = 0.556294

P(x≥1) = 0.5563

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5

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