A bag of 100 tulip bulbs purchased from a nursery contains 20 red tulip​ bulbs, 20 yellow tulip​ bulbs, and 60 purple tulip bulbs. ​(a) What is the probability that a randomly selected tulip bulb is​ red? ​(b) What is the probability that a randomly selected tulip bulb is​ purple? ​(c) Interpret these two probabilities.

Respuesta :

Answer: a) 0.2   b) 0.6

c) The event of selecting red tulip is not likely to occur.

The event of selecting purple tulip is likely to occur.

Step-by-step explanation:

Given : Total number of tulips = 100

The number of red tulips = 20

The number of purple tulips =60

The probability that a randomly selected tulip bulb is​ red :-

[tex]\dfrac{\text{Number of red tulips}}{\text{Total tulips}}\\\\=\dfrac{20}{100}=0.2[/tex]

Since 0.2 is less than 0.5.

It means that the event of selecting red tulip is not likely to occur.

The probability that a randomly selected tulip bulb is​ purple :-

[tex]\dfrac{\text{Number of purple tulips}}{\text{Total tulips}}\\\\=\dfrac{60}{100}=0.6[/tex]

Since 0.6 is more than 0.5.

It means that the event of selecting purple tulip is likely to occur.

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