In a certain game, the probability of winning is 0.3. If a player plays the game

In a certain game, the probability of winning is 0.3. If a player plays the game 5 times, what is the probability of winning at least once?

In a certain game, the probability of winning is 0.3. If a player plays the game 5 times, what is the probability of winning at least once?

Step 1: Understand the probability of winning the game, which is given as 0.3.
Step 2: Calculate the probability of losing the game. This is done by subtracting the winning probability from 1: 1 - 0.3 = 0.7.
Step 3: Since the player plays the game 5 times, we need to find the probability of losing all 5 games. This is calculated as (0.7)^5.
Step 4: Calculate (0.7)^5. This equals 0.16807 (approximately 0.168).
Step 5: Now, to find the probability of winning at least once, subtract the probability of losing all games from 1: 1 - 0.168 = 0.832.
Step 6: The final answer is the probability of winning at least once, which is approximately 0.832.

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