Question

A box contains 17 cards numbered 1,2,3,....17. A card is drawn at random from the box. Find the probability that the number on the card is (i) odd (ii) even (iii) prime (iv) divisible by 3 (v)divisible by 2 and 3 both (vi) divisible by 4 or 7 (vii) divisible by 2 or 3

Answer 1

Answer:

Given that: 17 cards numbered 1,2,3........17 are put in a box and mixed thoroughly. One person draws one card from the box.

To find: Find the probability that a number on the card is (i) odd (ii) even(iii) prime(iv) divisible by 3 and 2.

Solution:

To find the probability of given events,

P(E) = Favourable outcomes of the event/Total Outcomes

Find the probability that a number on the card is (i) odd

Total cards: 17

Favourable cards: 1,3,5,7,9,11,13,15,17=9

P(O)=9/17

Find the probability that a number on the card is (ii) Even

Total cards: 17

Favourable cards: 2,4,6,8,10,12,14,16=8

P(E)=8/17

Find the probability that a number on the card is (iii) prime

Total cards: 17

Favourable cards:2,3,5,7,11,13,17=7

P(Prime)=7/17

Find the probability that a number on the card is (iv) divisible by 3 and 2

Total cards: 17

Favourable cards:6,12=2

P(D)=2/17

Step-by-step explanation:

HOPE THIS WILL HELP U

PLZ MARK IT AS A BRAINLIEST

PLEASE I BEG U