Question

you pick a card at random from an ordinary deck of 52 cards. if the card is an ace, you get 9 points; if not, you lose 1 point.
this is a multi - part item.
write the equation for the expected value.
$e(v)=\frac{4}{52}(a)+\frac{b}{52}(c)$
$a = square$ $b = square$ $c = square$

Explanation:

Step1: Determine the value for \(a\)

The value when the card is an ace is \(9\) points. So \(a = 9\).

Step2: Determine the value for \(b\)

The number of non - ace cards is \(52−4 = 48\). So \(b = 48\).

Step3: Determine the value for \(c\)

The value when the card is not an ace is \(- 1\) point. So \(c=-1\).

Answer:

\(a = 9\), \(b = 48\), \(c=-1\)