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प्रश्न
In a simultaneous throw of a pair of dice, find the probability of getting:
a sum greater than 9
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उत्तर
\[\text{ When a pair of dice is thrown simultaneously, the sample space will be as follow }: \]
\[S = \left\{ \left( 1, 1 \right), \left( 1, 2 \right), \left( 1, 3 \right), \left( 1, 4 \right), \cdots\left( 6, 5 \right), \left( 6, 6 \right) \right\}\]
\[\text{ Hence, the total number of outcomes is 36 } . \]
\[\text{ Let A be the event of getting pairs whose sum is greater than 9 } . \]
\[\text{ The pairs whose sum is greater than 9 are } \left( 4, 6 \right), \left( 5, 5 \right), \left( 5, 6 \right), \left( 6, 4 \right), \left( 6, 5 \right) \text{ and } \left( 6, 6 \right) . \]
\[\text{ Hence, the number of favorable outcomes is 6 } . \]
\[ \therefore P\left( A \right) = \frac{\text{ Number of favourable outcomes }}{\text{ Total number of outcomes }} = \frac{6}{36} = \frac{1}{6}\]
संबंधित प्रश्न
In a simultaneou throw of a pair of dice, find the probability of getting:
an even number on first
In a simultaneous throw of a pair of dice, find the probability of getting:
at least once
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:
either a black card or a king
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:
spade or an ace
In a simultaneous throw of a pair of dice, find the probability of getting:
a number other than 5 on any dice.
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 |
In the previous question, what is the probability of picking up an ace from set (d)?
The probability of getting an ace out of a deck of cards is greater than 1.
The letters written on paper slips of the word MEDIAN are put in a bag. If one slip is drawn randomly, what is the probability that it bears the letter D?
Classify the following events:
A ball thrown up in the air will fall down after some time.
