Prelim Standard 2 Relative Frequency and Probability 1

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An experiment has three distinct outcomes, A, B and C. Outcome A occurs 50% of the time. Outcome B occurs 23% of the time. What is the expected number of times outcome C would occur if the experiment is conducted 500 times?

1 point

115

135

250

365

Clear selection

In NSW, standard number plates have black characters on a yellow background.The black characters are made up of three letters and three numbers. The number of car plates possible is :

1 point

11 232 000

12 812 904

17 576 000

7 862 400

Clear selection

During a year, the maximum temperature each day was recorded. The results are shown in the table. From the days with a maximum temperature less than 25°C, one day is selected at random.What is the probability, to the nearest percentage, that the selected day occurred during winter?

1 point

19%

25%

32%

77%

Clear selection

A game involves a spinner that can land on one of three colours, as shown. A game involves a spinner that can land on one of three colours, as shown.

1 point

Clear selection

The top of a rectangular table is divided into 8 equal sections as shown. A standard die with faces labelled 1 to 6 is rolled onto the table. The die is equally likely to land in any of the 8 sections of the table. If the die does not land entirely in one section of the table, it is rolled again. A score is calculated by multiplying the value shown on the top face of the die by the number shown in the section of the table where the die lands. What is the probability of getting a score of 6?

1 point

Clear selection

Anne has received some cards for her birthday. Eight were from female friends, six were from male friends, two were from her parents and eight from her other family members.If she picked up one card at random, what is the probability that it was not from a male friend?

1 point

Clear selection

The table shows two aspects of the membership of the Bent Creek Cricket Club. If one member of the club is chosen at random, what is the probability that the member is under 18 and currently plays cricket.

1 point

0.2

0.4

0.45

0.8

Clear selection

A premium gold car number plate consists of three letters followed by three digits. If Betty wants to buy one with the first two letters, being A followed by B, how many different number plates are possible?

1 point

2 x 26 x 10 x 10 x 10

2 x 26 x 10 x 9 x 8

1 x 26 x 9 x 9 x 9

1 x 26 x 10 x 10 x 10

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A study was conducted in the USA between 1982 and 1991 based on casualties to seatbelt wearing drivers in car to car collisions. The probabilities of fatality and severe injury according to impact speed are shown in the table below. If there were 625 collisions involving cars driving at 90 km/h, approximately how many of them could be expected to result in a fatality?

1 point

256

Clear selection

Betty plans to wear jeans with a T-shirt and a jumper. She has two pairs of jeans, four T-shirts and three jumpers. How many different outfits can she wear?

1 point

Clear selection

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