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mathematics UK Year 11 Mathematics (KS4)
 
Solved problems for the chapter:
 

Sample space

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Detailed solution steps are available at:
 
https://en.openprof.com/wb/chapter:sample_space/5370/


Example 1.

A bag contains 6 red marbles, 3 green marbles and 1 blue marble. Two marbles are picked at random from the bag with replacement. Find the probability that both marbles are green.
the problem is without solution steps    
Example 2.

A bag contains 4 red counters and 2 yellow counters. Two counters are picked at random from this bag without replacement. Find the probability that one of the two counters is yellow.
the problem is without solution steps    
3.

Angela picks a number at random from the numbers 1, 2 and 3. She then picks a number at random from the numbers 4, 5 and 6. She adds the two numbers to find the total. Complete the table to show the possible outcomes.
the problem is without solution steps    
4.

Angela picks a number at random from the numbers 1, 2 and 3. She then picks a number at random from the numbers 4, 5 and 6. She adds the two numbers to find the total. Given that the total is odd, find the probability that one of the numbers Angela picks is 3.
the problem is without solution steps    
5.

A tin contains red, yellow, green and brown sweets. The table shows some of the probabilities of picking a sweet of each colour at random.




Complete the table.
the problem is without solution steps    
6.

The height of each of 140 basketball players is recorded. The table shows the results.




Two of the players are chosen at random. Find the probability that both players have a height greater than and no more than .
the problem is without solution steps    
7.

Mai buys two batteries. The probability that a battery is faulty is . Find the probability that Mai buys two faulty batteries.
the problem is without solution steps    
8.

The stem-and-leaf diagram shows the mass of each of 13 packets.




Two of these packets are chosen at random. Find the probability that the one packet has a mass of more than and the other packet has a mass of less than .
the problem is without solution steps    

9.

The sample event space consists of four possible outcomes:




In which of the following sets could the P function represent a probability?







    
10.

P is the probability function of experiment X with sample space




Calculate if: