## Rajasthan Board RBSE Class 11 Maths Chapter 14 Probability Ex 14.1

Question 1.

From a cartoon of bulbs, 3 bulbs are drawn randomly. Test each bulb and classified into damage (D) and not damage (N). Find the sample space of this test.

Solution:

After drawing first bulb two results D of will be

After drawning 2nd bulb result

= (D,N) × (D,N)

= {DD, DN, ND, NN}

After drawing 3rd bulb result

= (D, N) × {DD, ND, NN}

= {DDD, DDN, DND, DNN, NDD, NDN, NND, NNN}

Thus sample space

S = {DDD, DDN, DND, DNN, NDD, NDN, NND, NNN}

Question 2.

Four cards are drawn from a desk of cards. What will be the n (E) whereas E is an event to draw 1 king 1 queen 1 fack 1 ace.

Solution:

n(E) = Total ways to get a queen

× Total ways to get a queen

× Total ways to get a fack

× Total ways to get 1 ace

= 4 × 4 × 4 × 4 = 256.

Question 3.

A dice is thrown E is an event to getting 4 on dice and getting even number is event F. Are the events E and F mutually exclusive events ?

Solution:

In throwing a dice, sample space

S = {1, 2, 3, 4, 5, 6}

Then according to question

E = {4}

and F = {2, 4, 6}

Thus E ∩ F = {4} ≠ Φ

Thus E and F are not mutually exclusive events.

Question 4.

Two dice and thrown, then

(i) What is the sample space for pair ?

(ii) What is the sample space for sum of digits appear is 8 ?

Solution:

(i) For pair, sample space.

= {(1,1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}

(ii) For sum of digit 8, sample space.

= {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}

## Leave a Reply