Question

A packet contains a large number of flower seeds which look identical.But produce flowers with one of these colours - white ,yellow or red. One half of the seeds produce white flowers and one third produce yellow flowers. The remammg of the seeds produce red flowers.


(i) The probability that a seed selected at random will produce a red flower. is :

(a)
2/3

(b) 3/2


(c) 1/6


(d) 7/5

(ii) The probability that a seed selected at random will produce a flower which is not yellow. is :


(a)
1/3

(b) 2/3


(c) 5/6

(d) 2/3

(iii) Two seeds are selected at random. The probability that both seeds will produce a yellow flower, is :


(a) 5/3
(b) 1/9
(c) 7/6
(d) 0

(iv) Two seeds are selected at random. The probability that both seeds will produce a blue flower. is :


(a) 1/3
(b) 1/9
(c) 1/6
(d) 0

(v) Two seeds are selected at random. The probability that one will produce a white flower and the other a yellow flower. is :


(a) 1/3



(b) 5/9



(c) 11/6
(d)0

​

Answer 1

Given : One Half of the seeds produce White flower. One third produce Yellow flowers and remaining Red flowers

To Find : Probabilities

Red Flower

not Yellow Flower

2 Seeds selected Both produce Yellow

2 Seeds selected Both produce Blue

2 Seeds selected produce one White and one Yellow flower

Solution:

Let say   Total Flowers are 6F

White  = (1/2)6F  = 3F

Yellow = (1/3)6F = 2F

Red = 6F - 3F - 2F  = F

Probability Red Flower = F/6F  = 1/6

Probability  not Yellow Flower  = (6F - 2F)/6F  = 4/6 = 2/3

Probability that 2 Seeds selected Both produce Yellow = (2F/6F) (2F/6F)

= (1/3)(1/3)

= 1/9

Probability that 2 Seeds selected Both produce Blue = (0/6F)(0/6F) = 0

( as no seed produce blue flower)

Probability that 2 Seeds selected produce White and Yellow flower

= (3F /6F )(2F/6F)  + (2F/6F)(3F /6F )

= 1/6 + 1/6

= 1/3

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Answer 2

Answer:

explanation is too long which can't be place because of low signal

Step-by-step explanation:

1. C

2.C

3. C

4. b

5.d