Presentation on theme: "Sample space diagrams and tree diagrams"— Presentation transcript:
1Sample space diagrams and tree diagrams S1 ProbabilitySample space diagrams and tree diagrams
2 Sample Space Diagrams + 1 2 3 4 5 6 Two fair spinners are numbered 1,1,1,2,3 and 1,2,2,3,3.The sum of the two numbers is calculated.Find the probability that the sum is exactly 6Find the probability that the sum is less than 6+123456P(6) = 225P(<6) = 2325
3Tree DiagramsAdam and Beth are playing darts. The probability that Adam hits the board with his first dart is 0.4 and the probability that Beth hits the board with her first dart is 0.6.Find the probability that:Both Adam and Beth hit with their first dartAt least one of them hits with their first dartB hitP(hit,hit) = 0.4x0.6 = 0.240.6A hit0.40.4B missP(hit,miss)=0.4x0.4= 0.16P(miss,hit)=0.6x0.6= 0.360.6B hit0.6P(at least one hit)= = 0.76A missB miss0.4
4QuestionsThrowing a die and tossing a coin. Find the probability of a head and a 6Throwing two six sided dice and recording the product of the values. Find the probability that the answer is greater than or equal to 24Picking one card from each of two different standard packs of cards. What is the probability that the first card is a heart and the second is not a heart?Picking a bead from a pot containing 2 black, 3 white and 1 red beads. Not replacing it and picking a second bead. What is the probability that at least one of the beads is white?