Question

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17 cards numbered 1,2,3__ 16, 17 are put in a box and mixed throughly. One person draws a card from the box. Find the probablity that the number on the card is
i) odd
ii) a prime
iii) divisible by 3
iv) divisible by 3 and 2 both​

Answer 1

Answer :

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

cards 1,2,3. 17 are put in a box and mixed thoroughly. One person draws one card from the box.To Find

To Find :

Find the probability that a number on the card is (1) odd (2) prime (3) divisible by 3 (4) divisible by 3 and 2.

divisible by 3 and 2.Solution

To find the probability

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

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

Solution :

Total cards: 17

Total cards: 17

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

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

Total cards: 17

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

Find the probability that a number on the card is (ii) primeTotal cards:

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

Find the probability that a number on the card is (iii) Divisible by 3 Total cards: 17

Total cards: 17Favourable cards:

1,3,5,7,9,11,13,15,17=9 Find the probability that a number on the card is (ii) primeTotal cards:

17Favourable cards:2,3,5,7,11,13,17=7 Find the probability that a number on the card is (iii) Divisible by 3Total cards: 17Favourable Cards: 3,6,9,15 =4Find the probability that a number on the card is (iv) divisible by 3 and 2

Answer 2

Step-by-step explanation:

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17 cards numbered 1, 2, 3,……,16,17 are put in a box and mixed thoroughly.One person draws a card from the box

The number of total possible outcomes = 17

Number of favourable outcomes for a number to be odd = 9 [i.e., 1,3,5,7,9,11,13,15,17]

Therefore,

$p = \frac{9}{17}$

Similarly, for prime,

$p = \frac{7}{17}$

For number divisible by 3,

$p = \frac{5}{17}$

For number divisible by 3 and 2,

$p = \frac{2}{17}$

$\bold \color{blue}{⋆ \: Hope \: this \: helps \: you \: ⋆}$