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India
Class XI

Using Sample spaces to determine Probabilities

Interactive practice questions

A coin is tossed twice.

a

Construct a tree diagram to identify the sample space of tossing a coin twice.

b

Use the tree diagram to find the probability of getting two tails.

c

Use the tree diagram to find the probability of getting at least one tail.

Easy
1min

One card is drawn at random from a standard deck of cards. What is the probability that the card is:

Easy
2min

A three-digit number is to be formed from the digits $4$4, $5$5 and $9$9, where the digits cannot be repeated.

Easy
2min

Ivan rolled a standard die and then tossed a coin.

Medium
3min
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Outcomes

11.SP.P.1

Random experiments: Outcomes, sample spaces (set representation). Events: Occurrence of events, ‘not’, ‘and’ & ‘or’ events, exhaustive events, mutually exclusive events. Axiomatic (set theoretic) probability, connections with the theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ & ‘or’ events.

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