Question

let a denote the event of placing a $1 straight bet on a certain lottery and winning. suppose that, for this particular lottery, there are 2,744 different ways that you can select the four digits (with repetition allowed) in this lottery, and only one of those four - digit numbers will be the winner. what is the value of p(a)? what is the value of p(\overline{a})?
what is the value of p(a)?
p(a) = 0.00036 (round to five decimal places as needed)
what is the value of p(\overline{a})?
p(\overline{a}) = \boxed{ } (round to five decimal places as needed)

Explanation:

Step1: Recall the complement rule

The complement rule states that \( P(\overline{A}) = 1 - P(A) \).

Step2: Substitute the value of \( P(A) \)

We know that \( P(A)=0.00036 \). So we calculate \( 1 - 0.00036 \).
\( 1 - 0.00036 = 0.99964 \)

Answer:

\( P(\overline{A}) = 0.99964 \)