Question

A bag contains 25 . A card is drawn from the box at random .find the probability that the number on the drawn card is (i) Even (ii) prime (iii) Multiple of 6 ​

Answer 1

Probablity = 11/15 , 9/25 and 4/25

Step-By-Step-Explanation

Given :-

A box contains 25 cards.

________________________

To Find :-

We have to find the probability in each case :-

(i) The card is the even

(ii) The card taken out is a prime number

(iii) The card is multiple of 6.

_______________________

Solution :-

(i) Total outcomes = 25 (1, 2, 3 ...... 25)

Favourable Outcomes = 11 (2, 4, 6, 8, 10, 12, 16, 18, 20, 22, 24)

Probablity = Favourable Outcomes / Total Outcomes

Probablity = 11/25

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(ii) Total Outcomes = 25 (1, 2, 3, ..... 25)

Favourable Outcomes = 9 (2, 3, 5, 7, 11, 13, 17, 19, 23)

Probablity = Favourable Outcomes / Total Outcomes

Probablity = 9/25

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(iii) Total Outcomes = 25 (1, 2, 3 ...... 25)

Favourable outcomes = 4 (6, 12, 18, 24)

Probablity = Favourable Outcomes / Total Outcomes

Probablity = 4/25

Answer 2

Answer:

Number of cards in the box = 25

Main Aim:-

To find the probabability of Question number (i), (ii) and (iii), i.e.

1. Even
2. Prime
3. Multiple of Six

___________________________...

Question Number (i):-

To find the probabability of even number.

Even numbers in the box = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24.

No. of even cards = 12

Hence, probabability of getting an even number is 12/25.

___________________________...

Question Number (ii):-

To find the probabability of prime numbers.

Prime numbers in the box = 2, 3, 5, 7, 11, 13, 17, 19, 23.

No. Prime cards = 9

Hence, probabability of getting a prime number is 9/25.

___________________________...

Question Number (iii):-

To find the probabability of multiples of six.

Multiplies of six = 6, 12, 18, 24

No. of cards = 4

Hence, probabability of getting the multiples of six is 4/25

REQUIRED ANSWER:-

• Probabability of getting an even number is 12/25.
• Probabability of getting a prime number is 9/25.
• Probabability of getting a multiple of Six is 4/25.

Remember!!(/Additional Information)

Probabability = Favourable Outcomes/Total number of outcomes.