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

Relative and expected frequencies

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Example 1.

A bag contains three colours of counters, green, pink and red.




There are three times as many pink counters as red counters. Flo picks one counter from the bag at random, records the colour and replaces it in the bag. She does this 200 times. Calculate the expected number of times she picks a green counter.
the problem is without solution steps    
Example 2.

A spinner is numbered 1, 2, 3, 4 and 5. Rinesh spins the spinner many times. He works out the relative frequency that the spinner lands on each number.




Complete the table.
the problem is without solution steps    
3.

Martha tossed a coin times and got heads. Calculate the relative frequency of this event and how many percent it differs from the theoretical probability.

    
4.

Father and son play chess. The son wins with a probability of . How many wins can he expect if they play games?

    
5.

A spinner is numbered 1, 2, 3, 4 and 5. Rinesh spins the spinner many times. He works out the relative frequency that the spinner lands on each number.




Rinesh spins the spinner another 1500 times. Calculate the expected number of times the spinner lands on 2.
the problem is without solution steps    
6.

Mai buys two batteries. The probability that a battery is faulty is . A shop sells 3000 batteries in one month. Work out the expected number of faulty batteries the shop sells.
the problem is without solution steps    
7.

Pryanka plays a game in which she can win, lose or draw. The table shows the probability of her winning or losing a game.




Pryanka plays this game 120 times. Work out the expected number of games she wins.
the problem is without solution steps    
8.

Mario sells ice creams in five flavours. The table shows the relative frequency of some of the ice cream flavours Mario sells.




Mario sells three times as many chocolate ice creams as banana ice creams


Complete the table.
the problem is without solution steps    

9.

Mario sells ice creams in five flavours. The table shows the relative frequency of some of the ice cream flavours Mario sells.




Mario sells three times as many chocolate ice creams as banana ice creams. One week Mario sells 450 ice creams. Find how many strawberry ice creams Mario expects to sell.
the problem is without solution steps