Question

Consider the following probability experiment consisting of three steps:

i) you spin a five sided spinner labelled 1,2,3,4,5 then

ii) you flip a coin with two possible outcomes (H or T)

iii) flip a second coin with two possible outcomes (H or T)

For a single trial:

a) What is the probability that an outcome will spin a 3 and two tails?

b) What are the odds in favour of spinning an even number and exactly one tail?

c) What are the odds against spinning even numbers? Convert this to probability.

d) What are the odds in favour of no tails and spinning an even number?

Answer 1

u

Spiner lebellel 4,3,4, 5 1 st Cain knd Coin Total Number of Qossible Outcomer'- Ichellul H, T. H T2 01H. He 2 Hi Ha 3 H,H2 D4 H, Hz IT, Te 2 H, Tz 3H, T2 4 HITE 1 H, T2 2 T Hz A1 NT, H 2 T Tz 2 5 H, He 8 SH, T2 3 TH2 4 TM2 ST.H2 5T. 72 = 20 20 31, T2 (16) 4 T,Tz Total O out come will Spin a 3 & Two tails har Only 1 9ossible Outcome.(.e 12) PLA) 0.05 %3D there artwo Even Number 2¢4 and this want exatly one tails. we Can happen by 4 ways (0,9,DD) C) there are and this Can 3 even Num ber , 3, 5 L0 happen by 12 ways (Dto , O P(()= 12 20 there are 2even Number on Spinner 244 and we wont So this Con happen by 5 ways No tails C0nly head allawed lie D. O