There is 16 white, 9 red and 7 yellow tulips. What's the probability of randomly picking 9 flowers where 2 are white, 3 are red, and 4 are yellow?

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Answer 1 · 2017-08-02T13:05:13

The probability is #=0.0126#

The probability of an event #A# is

#P_A=#(number of favourable outcomes)#/#total number of possibilities

Total number of tulips #=16+9+7=32#

Number of ways of choosing #9# tulips from #32# is

#Omega=((32),(9))=(32!)/(9!xx21!)=28048800#

Number of ways of choosing #2# white tulips from #16# is

#W=((16),(2))=(16!)/(2!xx14!)=120#

Number of ways of choosing #3# red tulips from #9# is

#R=((9),(3))=(9!)/(3!xx9!)=84#

Number of ways of choosing #4# yellow tulips from #7# is

#Y=((7),(4))=(7!)/(4!xx3!)=35#

Probability is

#P=(120xx84xx35)/(28048800)=352800/28048800=0.0126#