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

Josiah Owens

Josiah Owens

Answered question

2022-10-30

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

Answer & Explanation

Audrey Russell

Audrey Russell

Beginner2022-10-31Added 16 answers

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
Ω = ( 32 9 ) = 32 ! 9 ! × 21 ! = 28048800
Number of ways of choosing 2 white tulips from 16 is
W = ( 16 2 ) = 16 ! 2 ! × 14 ! = 120
Number of ways of choosing 3 black tulips from 9 is
R = ( 9 3 ) = 9 ! 3 ! × 9 ! = 84
Number of ways of choosing 4 yellow tulips from 7 is
Y = ( 7 4 ) = 7 ! 4 ! × 3 ! = 35
Probability is
P = 120 × 84 × 35 28048800 = 352800 28048800 = 0.0126

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