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WorksheetsYear 10 5.2 Probability
Total questions: 15
Worksheet time: 30mins
An event has the probability of occurring equal to 0.
What word can you use to describe this probability?
Certain
Impossible
Likely
Unlikely
Two cards are selected without replacement from cards labelled 1 to 3.
What is the sample space?
{1, 2, 3}
{1, 1, 2, 2, 3, 3}
{11, 12, 13, 21, 22, 23, 31, 32, 33}
{12, 13, 21, 23, 31, 32}
A bag contains black, grey and white balls.
The probability of selecting a black ball is 0.3 and a grey ball is 0.6.
What is the probability of selecting a white ball?
0.1
0.36
0.63
0.9
A letter is chosen at random from the word 'NEWCASTLE'. What is the probability the letter will be E?
91
92
31
32
The frequency of selecting a red card from a deck was recorded to be 6. If 20 cards were selected overall, what is the relative frequency of selecting a red card?
14%
26%
30%
70%
The arrow is spun.
What is the probability that the arrow will stop in a section containing a number greater than 4?
52
32
31
21
Which of the following events would be LEAST likely to occur?
Tossing a fair coin and obtaining a head
Rolling a standard six-sided die and obtaining a 3
Randomly selecting the letter 'G' from the 26 letters of the alphabet
Winning first prize in a raffle of 100 tickets in which you have 4 tickets
Each time she throws a dart, the probability that Mary hits the dartboard is 72
She throws two darts, one after the other.
What is the probability that she hits the dartboard with both darts?
211
494
72
74
Jaz has 2 bags of apples.
Bag A contains 4 red apples and 3 green apples.
Bag B contains 3 red apples and 1 green apple.
Which tree diagram could be used to determine the probability that Jaz chooses a red apple?
Which of the following could be the probability of an event occurring?
1
56
1.27
145%
A die is rolled twice.
Which expression shows the probability of rolling a 2 or a 3?
61+61
61×61
61
An unbiased coin is tossed 10 times. A tail is obtained on each of the first 9 tosses.
What is the probability that a tail is obtained on the 10th toss?
101
109
21
The probability that Lou and Ali finish a marathon is shown.
What is the probability that at least one of them will be successful?
0.12
1.3
0.42
0.88
In a bag of 40 marbles, 28 are blue.
If a marble is selected 50 times with replacement, the number of blue marbles you would expect to select is:
28
35
40
70
The probability of an event occurring is 284
What is the probability of the complement of this event?
the event not occurring
76
71
not enough information
