Question

Four dice are rolled. (a) Find the probability of getting all sixes. (Enter your answer as a fraction.) (b) Find the probability of getting all the same outcomes. (Enter your answer as a fraction.) (c) Find the probability of getting all different outcomes. (Enter your answer as a fraction.)

Answer 1

Solution Given Number of dice soiled 24 Number of outcomes = 1614 -6*6m * *6 Number of oul cames = 1296 the probability of getting all sines? y of gething all sides? favouable Outcomes (6,6,6,6) . number of outcomes = 1296 number of favourable outcome a probability of getting all sixes = number of fovounable outcome 3. number of outcomes probabilily of getting all stores bar 1294 So, the arequired probability ý → 1/1296. (b) find the probability of getting all the same outcomes ? tavoinable outcom 1),(2,2,2,2).(3,3,3,3), (4,4,4,4), (5,5.55),(6,61 Number of favoureble outrone 6 number of outcomes = 1296 probability of getting all same outcomes a Number of favourable outcome number of outcomes

1296 216 216 i so, the probability of getting all same outcomes = 1/216. Ccy find the probability of getting all different outcomes? Getting all wifferent outcomes : using premutatione d i Number of levounable outcome 3 G*5*4*3 Number of favorable outcome • 3603 Number of oubwmys = 1296 t jete dodatno probability of getting all diffevent outcomes - Number of favourable outcome Number of outumes - 360 1296 probability ol getting all wil hesent oulcomes - 18 .: Sor The Requised probability By > 5/18