Question

An individual can be classified by gender as male, female, by hair color as black, blonde, brown, red, unknown, and by eye color as black, brown, green, hazel, unknown. a) How many different classifications are possible (for example, male, with blonde hair, and green eyes)? There are different classifications. b) Construct a tree diagram to determine the sample space. The tree for gender has branches. From each branch of the tree for gender, the tree for hair color has branches From each branch of the tree for hair color, the tree for eye color has branches. c) If each outcome is equally likely, find the probability that the individual will be a female with unknown hair and unknown eyes. The size of the sample space is . The probability of this event is (Type a fraction. Simplify your answer.) d) Find the probability that the individual will be a male with blonde hair. There are sample points. The size of the sample space is The probability of this event is (Type a fraction. Simplify your answer.)

Answer 1

Total no. of different classifination Male 12 2 Gender < female Hair Colour black blonde 5 Epe Colony broon red en known black broon neer Hazal Unknown } 9) 2 X 3 X5 =so There are 50 different classifications b) the tree for gender han 2 branchen. from each branch of the free for gender, the free for hair colores han sl braucher ~ from each branch of hair colour, the freee for eye coler han si branchen. The size of the scumple space is [50) The probability (Femade with ankron haircolour and acknown eyes) lus 50

d2 h Male Fernde s- Samfle poich ple point I samp There are There ance quhe size of scarpele space is [10 The probability of this event P