There Are Two Bags $A$ and $B$ . $A$ Contains $6 R e d F l o w e r s$ and $3 P i n k F l o w e r s$ . Where As Bag $B$ Contains $2 R e d F l o w e r s$ and $7 P i n k F l o w e r s$ . One Flower Is Chosen From a Bag Randomly. What Is the Probability That the Flower Chosen Is $P i n k$ ?

Open in App

Solution

Step-1: Given Information
$B a g A = 6 r e d + 3 p i n k = 9 F l o w e r s$
$B a g B = 2 r e d + 7 P i n k = 9 F l o w e r s$
Step-2: Find the Probability that the flower chosen Is $P i n k$
The probability of choosing $1 p i n k f l o w e r f r o m b a g A =$ $\frac{N u m b e r o f p i n k f l o w e r s i n b a g A}{T o t a l n u m b e r o f f l o w e r s i n b a g A} =$ $\frac{3}{9}$
The probability of choosing $1 p i n k f l o w e r f r o m b a g B =$ $\frac{N u m b e r o f p i n k f l o w e r s i n b a g B}{T o t a l n u m b e r o f f l o w e r s i n b a g B} =$ $\frac{7}{9}$
Therefore, total = $\frac{3}{9} + \frac{7}{9} = \frac{10}{9}$
The probability of selecting a bag is $\frac{1}{2}$
The Probability that the flower chosen Is $P i n k$ is $(\frac{1}{2}) \times (\frac{10}{9}) = \frac{5}{9}$
Hence, The Probability that the flower chosen is $P i n k$ $= \frac{5}{9}$

Suggest Corrections

Similar questions

A box contains 10 red flowers, 6 white flowers, 4 pink flowers and 8 yellow flowers. Swetha picked a flower randomly from the box. What is the probability that Swetha picks a pink flower?

A box contains 10 red flowers, 6 white flowers, 4 pink flowers, and 8 yellow flowers. When Swetha picks a flower at random, what is the probability that the flower is Pink?

Q. Bubbles has 700 pink flowers, 80 yellow flowers, and 6 red flowers. How many flowers does he have in total?

Join BYJU'S Learning Program

There Are Two Bags A and B. AContains 6RedFlowers and 3PinkFlowers. Where As Bag B Contains2RedFlowers and 7PinkFlowers. One Flower Is Chosen From a Bag Randomly. What Is the Probability That the Flower Chosen Is Pink?

There Are Two Bags $A$ and $B$ . $A$ Contains $6 R e d F l o w e r s$ and $3 P i n k F l o w e r s$ . Where As Bag $B$ Contains $2 R e d F l o w e r s$ and $7 P i n k F l o w e r s$ . One Flower Is Chosen From a Bag Randomly. What Is the Probability That the Flower Chosen Is $P i n k$ ?