During holi festival, Sonali filled $7$ bottles with different coloured water - red, blue, green, pink, yellow, purple and orange. One bottle is selected at random. What is the probability of choosing the bottle with neither yellow nor pink

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Solution

The possible outcomes of $7$ different coloured bottles are {red, blue, green, pink, yellow, purple, orange}. Therefore, the number of possible outcomes are $7$ .

Now, the possible outcome of getting neither yellow nor pink coloured bottle is {red, blue, green, purple, orange}, which means the number of favourable outcome is $5$ .

Therefore, probability $P$ of getting neither yellow nor pink coloured bottle is:

$P = \frac{5}{7}$

Hence, the probability of getting neither yellow nor pink coloured bottle is $\frac{5}{7}$ .

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During holi festival, Sonali filled 7 bottles with different coloured water - red, blue, green, pink, yellow, purple and orange. One bottle is selected at random. What is the probability of choosing the bottle with neither yellow nor pink

During holi festival, Sonali filled $7$ bottles with different coloured water - red, blue, green, pink, yellow, purple and orange. One bottle is selected at random. What is the probability of choosing the bottle with neither yellow nor pink