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India
Class XI

Traffic Light Problems

Interactive practice questions

Traffic lights showing green, red and yellow lights are set up on a race track. A race car approaching the lights is equally likely to see a green, red or yellow light.

This is because:

the three lights stay on for the same amount of time.

A

the race car driver is driving at a constant speed.

B

the lights are the same size.

C
Easy
< 1min

A traffic light is green for $35$35 seconds, amber for $5$5 seconds and then red for $50$50 seconds. What is the probability that the next person at the traffic lights gets a:

Easy
1min

On the island of Timbuktoo the probability that a set of traffic lights shows red, yellow or green is equally likely. Christa is travelling down a road where there are two sets of traffic lights.

Easy
1min

A traffic light at a railway crossing has a chance of $0.3$0.3 of being yellow.

Three cars approach the light separately at different times throughout the day. What is the probability that each of the cars approaches a yellow light?

Medium
1min
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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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