Question

96. A number card numbered from 1 to
30. What is the probability of getting the
card which is multiple of 5 or 6? *​

Answer 1

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• A number card numbered from 1 to
• 30. What is the probability of getting the
• card which is multiple of 5 or 6? *

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Total no of cards = 30

Total no of possible outcomes = 30

______________________

Cards having multiple of 5

= 5, 10 ,15 ,20, 25 ,30

Total no of favourable outcomes = 6

_____________________

Cards having multiple of 6

= 6, 12 , 18 ,24 ,30

Total no of favourable outcomes = 5

______________________

Cards with a multiple of 5 or 6

= 5 , 6 , 10 , 12 ,15 ,18 , 20, 24 , 25 , 30

Total no of favourable outcomes to get a card with a multiple 5 or 6 = 10

_______________________

probability of getting the card which is multiple of 5 or 6

= Total no of favourable outcomes / total no of possible outcomes

here ,

• Total no of favourable outcomes = 10
• total no of possible outcomes = 30

= 10 / 30

= 1/ 3

Probability of getting the card which is multiple of 5 or 6 = 1 / 3

_______________________

Probability of getting a card with a multiple of 5

= Total no of favourable outcomes / total no of possible outcomes

= 6 / 30

= 1 / 5

Probability of getting a card with a multiple of 5 = 1 / 5

Probability of getting a card with a multiple of 6

= Total no of favourable outcomes / total no of possible outcomes

= 5 / 30

= 1 / 6

Probability of getting a card with a multiple of 6= 1 / 6

_____________________

Hope this helps : D