Question

a game of scrabble has 100 tiles, as shown to the right. the number of tiles for each letter are shown to from the right of each tile. the letters point value is printed on the tile. two tiles are drawn in succession. find the probability of selecting an s or a d on the second draw, given that a v was selected on the first draw. the probability of selecting an s or a d on the second draw, given that a v was selected on the first draw is □ (type an integer or a simplified fraction.)

Explanation:

Step1: Determine number of remaining tiles

Since one tile (V) is already drawn on the first - draw, the number of remaining tiles is $100 - 1=99$.

Step2: Determine number of S and D tiles

Count the number of S and D tiles from the given Scrabble - tile distribution. There are 4 S tiles and 4 D tiles. So the total number of S or D tiles is $4 + 4=8$.

Step3: Calculate the probability

The probability of an event is the number of favorable outcomes divided by the number of total outcomes. The probability of selecting an S or a D on the second draw given that a V was selected on the first draw is $\frac{8}{99}$.

Answer:

$\frac{8}{99}$