Find the probability that a number selected at
random from the numbers 1, 2, 3 ... 35 is a
Prime number Multiple of 7 multiple of 3or5
Answers
Answer:
ANSWER
Solution(i):
Let E be event of getting a prime number from the list of numbers 1 to 35
Prime nos. upto 35=2,3,5,7,11,13,17,19,23,29,31
No. of favorable outcomes=11
Total no. of possible outcomes =35
We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=3511
Therefore, the probability that a prime number is selected from the numbers 1,2,3,.......,35 is 3511
Solution(ii):
Let F be event of getting a multiple of 7 from the numbers 1 to 35
Multiples of 7 upto 35=7,14,21,28,35
No. of favorable outcomes=5
Total no. of possible outcomes =35
We know that, Probability P(F) =(Total no.of possible outcomes)(No.of favorable outcomes)=355=71
Therefore, the probability that a number selected from the numbers 1,2,3,.......,35 is a multiple of 7 is 71
Solution(iii):
Let G be event of getting a multiple of 3 or 5 from the numbers 1 to 35
Multiples of 3 or 5 upto 35=3,5,6,9,10,12,15,18,20,21,24,25,27,30,33,35
No. of favorable outcomes
Step-by-step explanation:
ANSWER
Solution(i):
Let E be event of getting a prime number from the list of numbers 1 to 35
Prime nos. upto 35=2,3,5,7,11,13,17,19,23,29,31
No. of favorable outcomes=11
Total no. of possible outcomes =35
We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=3511
Therefore, the probability that a prime number is selected from the numbers 1,2,3,.......,35 is 3511
Solution(ii):
Let F be event of getting a multiple of 7 from the numbers 1 to 35
Multiples of 7 upto 35=7,14,21,28,35
No. of favorable outcomes=5
Total no. of possible outcomes =35
We know that, Probability P(F) =(Total no.of possible outcomes)(No.of favorable outcomes)=355=71
Therefore, the probability that a number selected from the numbers 1,2,3,.......,35 is a multiple of 7 is 71
Solution(iii):
Let G be event of getting a multiple of 3 or 5 from the numbers 1 to 35
Multiples of 3 or 5 upto 35=3,5,6,9,10,12,15,18,20,21,24,25,27,30,33,35
No. of favorable outcomes