Question

Deidre is planting tulips in her garden, and she has 44 red bulbs and 44 purple bulbs to plant in one row. What is the probability that she randomly plants the bulbs so that all 44 red bulbs are next to each other and all 44 purple bulbs are next to each other

Answer 1

Answer:

$P=7.62*10^{-26}$

Step-by-step explanation:

From the question we are told that:

Available plants:

44 red bulbs

44 purple bulbs

Generally the equation for Total possible arrangement is mathematically given by

$n= 88!/(44!*44!)$

$n=2.6*10^{25}$

Since

Its either

All 44 red bulbs and All 44 purple bulbs next to each other in one row

OR

All 44 purple bulbs and All 44 Red bulbs next to each other in one row

Therefore

Probability is

$P=\frac{2}{2.6*10^{25}}$

$P=7.62*10^{-26}$