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 If the probability of winning a game is 0.995, then the probability of losing is
  • a)
    0.05
  • b)
    1
  • c)
    0.005
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the probability of winning a game is 0.995, then the probability of...
Let P(winning the game)=0.995

Since probability of two complementary event sums to 1 so-

P(not winning the game) + P(winning the game )=1

=P(loosing it )=1-P(winning the game )

= 1-0.995 = 0.005
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Most Upvoted Answer
If the probability of winning a game is 0.995, then the probability of...
Probability of winning and losing r complementary events....so probability of losing=1-probability of winning =1-0.995 =0.005
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Community Answer
If the probability of winning a game is 0.995, then the probability of...
Understanding Probability
Probability is a measure of the likelihood that an event will occur. It ranges from 0 to 1, where 0 indicates impossibility and 1 indicates certainty.
Given Probability of Winning
In this scenario, the probability of winning the game is given as 0.995. This means that there is a very high chance of winning.
Calculating the Probability of Losing
To determine the probability of losing, you can use the following relationship:
- The total probability of all possible outcomes (winning + losing) must equal 1.
This can be expressed as:
- Probability of Winning + Probability of Losing = 1
Since you know the probability of winning:
- 0.995 + Probability of Losing = 1
To find the probability of losing, simply rearrange the equation:
- Probability of Losing = 1 - Probability of Winning
Now, substituting the known value:
- Probability of Losing = 1 - 0.995
Calculating this gives:
- Probability of Losing = 0.005
Conclusion
Thus, the probability of losing the game is 0.005.
- Therefore, the correct answer is option C.
This means that there is a 0.5% chance of losing the game, confirming the high likelihood of winning.
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If the probability of winning a game is 0.995, then the probability of losing isa)0.05b)1c)0.005d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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