Question

A box contains cards numbered from 17 to 94. If a card is drawn at random from the box, then the probability that the number on the card is divisible by 16 is : ​

Answer 1

Answer:

0

Step-by-step explanation:

Answer 2

• 2/39

Given :- A box contains cards numbered from 17 to 94.

To Find :- the probability that the number on the card is divisible by 16 is ?

Formula used :-

• Probability = Total favourable outcomes / Total number of outcomes .

Solution :-

since box contains cards numbered from 17 to 94 .

So,

→ Total number of cards in the box = 17, 18, 19, ______ 94 = (17,18,19,20) + (21 - 30) + (31 - 40) + (41 - 50) + (51 - 60) + (61 + 70) + (71 - 80) + (81 - 90) + (91,92,93,94) = 4 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 4 = 78 { or, 94 - 17 + 1 = 77 + 1 = 78 }

then,

→ Total number of outcomes = 78

now,

→ Multiples of 16 from 17 to 94 are = 32, 48, 64 and 80

then,

→ Total favourable outcomes = 4

therefore,

→ Required probability = Total favourable outcomes / Total number of outcomes

→ Required probability = 4/78

→ Required probability = 2/39 (Ans.)

Hence, the probability that the number on the card is divisible by 16 is equal to 2/39 .

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