## 4.5 Probability Basics

Calculator Allowed: No Question Answer Transcription of this question: 6.[Maximum mark: 71There are 20 students in a classroom.below gives their sport and gender.Each student plays only one sport. The tableFemaleMaleFootball4Tennis2Hockey33(a)(b)One student is selected at random.(i) Calculate the probability that the student is a male or is a tennis player.(ii) Given that the student selected is […]

## 4.5 Probability Basics

Calculator Allowed: Yes Question Answer Transcription of this question: 3.[Maximum mark: 51Jan plays a game where she tosses two fair six-sided dice. She wins a prize if thesum Of her scores is 5.(a)(b)Jan tosses the two dice once. Find the probability that she wins a prize.Jan tosses the two dice 8 times. Find the probability […]

## 4.5 Probability Basics

Calculator Allowed: Yes Question Answer Transcription of this question: 9.[Maximum mark: 12]Two fair 4-sided dice, one red and one green, are thrown. For each die, the faces arelabelled 1, 2, 3, 4. The score for each die is the number which lands face down.(a) List the pairs Of scores that give a sum Of 6.The […]

## 4.5 Probability Basics

Calculator Allowed: Yes Question Answer Transcription of this question: 7.[Maximum mark: 71A company uses two machines, A and B, to make boxes. Machine A makes 60 % Ofthe boxes.80 % Of the boxes made by machine A pass inspection.90 % Of the boxes made by machine B pass inspection.A box is selected at random.(a)(b)Find the […]

## 4.5 Probability Basics

Calculator Allowed: No Question Answer Transcription of this question: 9.[Maximum mark: 12]Two boxes contain numbered cards as shown below.Two cards are drawn at random, one from each box.(a) Copy and complete the table below to show all nine equally likely outcomes.3, 103, 10Let S be the sum Of the numbers on the two cards.(b)(c)(d)Write down […]

## 4.5 Probability Basics

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 5]Three girls and four boys are seated randomly on a straight bench. Find the probability thatthe girls sit together and the boys sit together.

## 4.5 Probability Basics

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 6]A football team, Melchester Rovers are playing a toumament of five matches.The probabilities that they win, draw or lose a match are — ,and — respectively.These probabilities remain constant; the result of a match is independent of the results ofother matches. At the end […]

## 4.5 Probability Basics

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 7]A box contains four red balls and two white balls. Darren and Marty play a game by eachtaking it in tum to take a ball from the box, without replacement. The first player to take awhite ball is the winner.(a) Darren plays first, find […]

## 4.6 Venn Diagram, Tree Diagram, Sample Space, Conditional Probability

Calculator Allowed: No Question Answer Transcription of this question: 5.[Maximum mark: 6]Let and B be independent events, where P (A)-0.6 and(a)(b)(c)Write down an expression for P (A n B)Given that(i) find x ;(ii) find P(AnB)_Hence, explain why A and B are not mutually exclusive.[l mark][4 marks][l mark]

## 4.6 Venn Diagram, Tree Diagram, Sample Space, Conditional Probability

Calculator Allowed: Yes Question Answer Transcription of this question: 7.[Maximum mark: 81In any given season, a soccer team plays 65 % of their games at home.When the team plays at home, they win 83 % of their games.When they play away from home, they win 26 % of their games.The team plays one game.(a)(b)Find the […]