Question

) If there are 6 Amul chocolate, 5 Munch chocolate and 5 five star in a packet find the probability of each chocolate.​

Answer 1

Answer:

Given:-

If there are 6 Amul chocolates, 5 Munch chocolates and 5 Five star in a packet. Find the probability of each chocolate.

To Find:-

The probability of each chocolates.

Note:-

●》Here; for finding probability of each chocolates = $\dfrac{Number \ \ of \ \ favourable \ \ outcomes}{Total \ \ number \ \ of \ \ outcomes}$ . For total number of outcomes, we need to add the whole chocolate value i.e. 6 + 5 + 5.

Solution:-

Total number of outcomes = ?

☆ So~

▪︎$Total \ \ number \ \ of \ \ outcomes = Whole \ \ chocolate \ \ value$

▪︎$Total \ \ number \ \ of \ \ outcomes = 6 \ \ chocolates + 5 \ \ chocolates + 5 \ \ chocolates$

▪︎$Total \ \ number \ \ of \ \ outcomes = 11 \ \ chocolates + 5 \ \ chocolates$

▪︎$Total \ \ number \ \ of \ \ outcomes = 16 \ \ chocolates$

Total number of outcomes = 16 chocolates

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[ First, Amul chocolates probability ]

$\huge\red{Number \ \ of \ \ favorable \ \ outcomes = 6 \ \ chocolates}$

$\huge\red{Total \ \ number \ \ of \ \ outcomes = 16 \ \ chocolates}$

$\huge\red{ \ \ \ \ Their \ \ probability = ?}$

☆ According to note first point~

▪︎$Probability \ \ of \ \ Amul \ \ chocolates = \dfrac{Number \ \ of \ \ favourable \ \ outcomes}{Total \ \ number \ \ of \ \ outcomes}$

▪︎$Probability \ \ of \ \ Amul \ \ chocolates = \dfrac{6 \ \ chocolates}{16 \ \ chocolates}$

☆ After reducing~

▪︎$Probability \ \ of \ \ Amul \ \ chocolates = \dfrac{3}{8}$

$\huge\pink{Probability \ \ of \ \ Amul \ \ chocolates = \dfrac{3}{8}}$

___________________________________________________

[ Now, Munch chocolates probability ]

$\huge\red{Number \ \ of \ \ favourable \ \ outcomes = 5 \ \ chocolates}$

$\huge\red{Total \ \ number \ \ of \ \ outcomes = 16 \ \ chocolates}$

$\huge\red{ \ \ \ \ Their \ \ probability = ?}$

☆ According to note first point only~

▪︎$Probability \ \ of \ \ Munch \ \ chocolates = \dfrac{Number \ \ of \ \ favourable \ \ outcomes}{Total \ \ number \ \ of \ \ outcomes}$

▪︎$Probability \ \ of \ \ Munch \ \ chocolates = \dfrac{5 \ \ chocolates}{16 \ \ chocolates}$

☆ It can be reduced, so~

▪︎$Probability \ \ of \ \ Munch \ \ chocolates = \dfrac{5}{16}$

$\huge\pink{Probability \ \ of \ \ Munch \ \ chocolates = \dfrac{5}{16}}$

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[ Now, Five star chocolates probability ]

$\huge\red{Number \ \ of \ \ favourable \ \ outcomes = 5 \ \ chocolates}$

$\huge\red{Total \ \ number \ \ of \ \ outcomes = 16 \ \ chocolates}$

$\huge\red{ \ \ \ \ Their \ \ probability = ?}$

☆ According to note first point only~

▪︎$Probability \ \ of \ \ Five \ \ star \ \ chocolates = \dfrac{Number \ \ of \ \ favourable \ \ outcomes}{Total \ \ number \ \ of \ \ outcomes}$

▪︎$Probability \ \ of \ \ Five \ \ star \ \ chocolates = \dfrac{5 \ \ chocolates}{16 \ \ chocolates}$

☆ It can't be reduced, so~

▪︎$Probability \ \ of \ \ Five \ \ star \ \ chocolates = \dfrac{5}{16}$

$\huge\pink{Probability \ \ of \ \ Five \ \ star \ \ chocolates = \dfrac{5}{16}}$

Answer:-

Hence, The probability of Amul chocolates = $\dfrac{3}{8}$.

• The probability of Munch chocolates = $\dfrac{5}{8}$.
• The probability of Five star chocolates = $\dfrac{5}{8}$.

:)