Home
Class 11
MATHS
The probability that the Indian team wil...

The probability that the Indian team will win the world Cup 2019 is 0.92, the probability that it will shared by two countries is 0.01, and the probability that India will not won the World Cup 2019 is

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the probability that India will not win the World Cup 2019. We are given the following probabilities: - Probability that India wins (P(A)) = 0.92 - Probability that the World Cup is shared by two countries (P(Draw)) = 0.01 We can denote: - P(A) = Probability that India wins - P(B) = Probability that Country X wins - P(Draw) = Probability that the match is drawn Since the total probability of all possible outcomes must equal 1, we can express this as: \[ P(A) + P(B) + P(Draw) = 1 \] Substituting the known values into the equation: \[ 0.92 + P(B) + 0.01 = 1 \] Now, we can simplify this equation to find P(B): 1. Combine the probabilities of India winning and the match being drawn: \[ 0.92 + 0.01 = 0.93 \] 2. Substitute this back into the total probability equation: \[ 0.93 + P(B) = 1 \] 3. Now, isolate P(B): \[ P(B) = 1 - 0.93 \] 4. Calculate P(B): \[ P(B) = 0.07 \] Thus, the probability that India will not win the World Cup 2019 (which is the same as the probability that Country X wins) is: \[ P(B) = 0.07 \] ### Final Answer: The probability that India will not win the World Cup 2019 is **0.07**. ---
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    CBSE COMPLEMENTARY MATERIAL|Exercise VERY SHORT ANSWER TYPE QUESTIONS|18 Videos
  • PROBABILITY

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS|20 Videos
  • PROBABILITY

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER TYPE QUESTIONS|23 Videos
  • PRINCIPAL OF MATHEMATICAL INDUCTION

    CBSE COMPLEMENTARY MATERIAL|Exercise Short Answer Type Questions|24 Videos
  • REALATION AND FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS (4 MARKS)|29 Videos

Similar Questions

Explore conceptually related problems

The probability that the home team will win an upcoming football game is 0.77 ,the probability that it will tie the game is 0.08, and the probability that it will lose the game is

The probability that the home team will win an upcoming football game is 0.77, the probability that it will tie the game is 0.08 and the probability that is will lose the game is …..

What is the probability of Argentina winning Fifa world cup 2018?

If the probability of winning a game is 0.6, what is the probability of losing the game

How many times has India won the ICC U-19 World Cup?

If the probability of winning a game is 0.4 then the probability of losing it, is