there are 30 cards of same size in a bag on which numbers 1 to 30 are written one card is taken out of the bag random. find the probability that number on the number on the card is not divisible by 3
Answers
Answer:
2/3
Step-by-step explanation:
Let E be event of getting a number not divisible by 3 in the event of drawing a card from the cards numbered 1 to 30
The numbers not divisible by 3 upto 30=1,2,4,5,7,8,10,11,13,14,16,17,19,20,22,23,25,26,28,29
No. of favorable outcomes=20
Total no. of possible outcomes =30
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
= 20/30
= 2/3
Therefore, the probability that the number on the selected card is not divisible by 3= 2/3
Step-by-step explanation:
we have given that there are 30 cards
and we have to find the probablity of the cards which are not divisible by 3
so the number are not divisible by 3 are=(1,2,4,5,7,8,9,10,11,13,14,16,17,19,20,22,23,25,26,28,29)
here total number which are not divisible by 3 are 3
so the probablity is 20/30