Question

1Suppose the probability of winning a particular lottery is 1 in 14C 9 or30,888If Juanita and Michelle each play the lottery on one particular evening, what is the probability thatboth will select the winning numbers if they make their selections independently of each other?The probability that both will select the winning numbers is approximately(Use scientific notation Use the multiplication symbol in the math palette as needed. Round to the nearest hundredth as needed)Help Me Solve ThisView an ExampleGet More HelpClear AllCheck Answer

Answer 1

The probability of each one of them selecting the winning numbers is:

$\frac{1}{30888}$

Now, since they make their choices independently, the probability of both selecting the winning numbers is the product of the probabilities for each one winning:

$\frac{1}{30888}\cdot\frac{1}{30888}=\frac{1}{30888^2}$

When we compute this division, we find the approximate value:

$1.0481\cdot10^{-9}$

Now, rounding this result to the nearest hundredth, the approximate probability that both will select the winning numbers is

$1.05\cdot10^{-9}$