Probability

Elbek and Abdulahad are playing a game where they draw colored dots from a bag. The probability of all combinations of colors drawn will equal:

(Pr of any dot combination)

• 100

• 1

• 0.05

• 10

100 students, including Elbek, Abdulahad, and Otabek, were asked to choose the best ice-cream flavour; 38 chose chocolate, 47 chose vanilla, 11 chose strawberry, and 4 chose something else. Are these mutually exclusive events?

• No: there is more than one outcome, so they can't be mutually exclusive.

• Yes: the outcomes do not cross-over with each other, so they are mutually exclusive.

• Either: You could pick any flavour you wanted

• There is not enough information to tell

In a bag, there are colored shapes that Elbek and Muhammadrasul are sorting. They find that there are 4 red squares and 12 red triangles. What is the relative frequency that a red shape will be a square?

• 53%

• 33%

• 25%

• 13%

A sample of students from a school was taken, and it showed that for every 12 students who wore a mask, 28 did not. If there are 380 students in the school, including Muhammadrasul and Abdulahad, how many students would you expect to see without a mask?

• 28

• 266

• 296

• 114

In a pet adoption event, Elbek and Otabek counted the number of cats available for adoption. They found that there are 10 cats, and 5 of them are also dogs. What is the total value of (Cats)?

• 12

• 10

• 15

• 7

In a recent survey conducted at school, Abdulahad, Muhammadumar, and Otabek were asked about their preferences for snowmobiles and skateboards. The results are shown in the two-way table below. How many people took part in this survey?

• 55

• 180

• 125

• This two-way table cannot be completed with the information given

In a class, Muhammadumar studies biology and math, while Abdulahad studies biology and English. What is the relative probability that someone who studies biology, like Muhammadumar, also studies math, but not English?

• 0.21

• 0.40

• 0.11

• 0.38

Muhammadrasul and Abdulahad are playing a game where they draw colored dots from a bag. The probability of getting both a blue and a green dot is:

• 28/55

• 4/11

• 14/55

• 7/10

In a survey conducted at school, 680 students were asked about their favorite subjects. If the Venn diagram shows that 32 students study Math, how many students would you expect to study Math if 680 people were surveyed?

Round to the nearest whole number

• 247

• 270

• 386

• 402