Two players, `A` and `B`, play a game that consists of taking turns until a winner is determined.

Each turn consists of spinning the arrow on a spinner once. The spinner has three sectors, `P`, `Q` and `R`.

The probabilities that the arrow stops in sectors `P`, `Q` and `R` are `p`, `q` and `r` respectively.

The rules of the game are as follows:

If the arrow stops in sector `P`, then the player having the turn wins.

If the arrow stops in sector `Q`, then the player having the turn loses and the other player wins.

If the arrow stops in sector `R`, then the other player takes a turn.

Player `A` takes the first turn.

The probability of player `A` winning on the first or the second turn of the game is `(1 − r) (p + r)`.

True or false?