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प्रश्न
When two dice are rolled:
Find the probability of getting a total less than 5?
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उत्तर
\[\text{ Possible outcomes when two dice are rolled }: \]
\[S = \left\{ \left( 1, 1 \right), \left( 1, 2 \right), \left( 1, 3 \right), \left( 1, 4 \right), \cdots, \left( 6, 5 \right), \left( 6, 6 \right) \right\}\]
\[\text{ Therefore, the number of possible outcomes in the sample space is 36 }. \]
\[\text{ The number of favourable outcomes is 6 }. \]
\[ \therefore P\left( B \right) = \frac{6}{36} = \frac{1}{6}\]
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संबंधित प्रश्न
List the outcomes you can see in this experiment.
Spinning a wheel
Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of.
- Getting a number 6?
- Getting a number less than 6?
- Getting a number greater than 6?
- Getting a 1-digit number?
Find the probabilities of the events given in Question 2.
A coin is flipped to decide which team starts the game. What is the probability that your team will start?
A die is thrown. Find the probability of getting:
a multiple of 2 or 3
In a simultaneous throw of a pair of dice, find the probability of getting:
neither 9 nor 11 as the sum of the numbers on the faces
A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is:
not red?
A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is:
red
When two dice are rolled:
Find probability of getting an odd total.
Classify the following statements under appropriate headings.
- Getting the sum of angles of a triangle as 180°.
- India winning a cricket match against Pakistan.
- Sun setting in the evening.
- Getting 7 when a die is thrown.
- Sun rising from the west.
- Winning a racing competition by you.
| Certain to happen | Impossible to happen | May or may not happen |
