Answer:
0.14
Step-by-step explanation:
When the game starts, either thee will be a hit or a miss.
The probability of hit = 0.3
Probability of miss = 0.7
Further, after a hit, the probability of hit = 0.3
And the probability of miss= 0.7
Continuing in this way, if we get 2 continuous miss, the game will terminate.
Hence,
the probability of game to terminate = Probability of first miss + Probability of second miss
= 0.7 +0.7
= 0.14