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In an orchard, every 4th peach picked is sour and every 5th peach picked has black spots. What is the probability of a peach being sour and with black spots if 160 peaches are picked?

In an orchard every 4th peach picked is sour and every 5th peach picked has black spots What is the probability of a peach being sour and with black spots if 16 class=

Respuesta :

ilovenutzsackz

Answer:

it's c. because if u times 4x5 u get twenty and 5x4 equals 20 tooooooo wowie im so smart fr

Step-by-step explanation:

semsee45

Answer:

[tex]\sf C. \quad \dfrac{1}{20}[/tex]

Step-by-step explanation:

The lowest common multiple (LCM) of 4 and 5 is 20.

Therefore, every 20th peach will be sour with black spots.

If 160 peaches are picked:

⇒ 160 ÷ 20 = 8

Therefore, out of a total of 160 peaches, 8 peaches will be sour with black spots.

To find the probability, simply divide the number of outcomes by the total number of possible outcomes:

[tex]\implies \sf Probability=\dfrac{8}{160}=\dfrac{1}{20}[/tex]

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