A number is chosen at random from the set £1,2,3,4......18...24....30 find the probability that it is( A) either a factor of 18 or a multiply of 6( b) either a multiple of 5 or a factorof 2( c) nither a factor of 8 nor 12
Please am waiting for the answer to the questions I need it please
this just like the COMPUTER problem.
You apparently have 30 numbers to choose from.
So count the ways to pick a desired number, and divide that by 24 to get the probability of picking one of the desired choices.
(sometimes it might be easier -- as in (c) -- to count the ways to fail, and then just subtract that from 24 to get the ones you want)
Please help me show working thanks
come on ... For the first one,
factors of 18: 1,2,3,6,9,18
multiples of 6: 6,12,18
total choices: 7
so P = 7/24
I'm sure you can follow these steps on the others.
To find the probability of an event, we can divide the number of favorable outcomes by the number of possible outcomes.
First, let's find the number of favorable outcomes and the number of possible outcomes for each part of the question:
A) Either a factor of 18 or a multiple of 6:
Factors of 18: 1, 2, 3, 6, 9, 18
Multiples of 6: 6, 12, 18, 24, 30
Favorable outcomes: 1, 2, 3, 6, 9, 12, 18, 24, 30 (9 numbers)
Possible outcomes: 30
Probability for part A) = Favorable outcomes / Possible outcomes = 9/30 = 3/10
B) Either a multiple of 5 or a factor of 2:
Multiples of 5: 5, 10, 15, 20, 25, 30
Factors of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
Favorable outcomes: 2, 4, 5, 6, 8, 10, 12, 14, 15, 16, 18, 20, 24, 25, 26, 28, 30 (17 numbers)
Possible outcomes: 30
Probability for part B) = Favorable outcomes / Possible outcomes = 17/30
C) Neither a factor of 8 nor 12:
Factors of 8: 1, 2, 4, 8
Factors of 12: 1, 2, 3, 4, 6, 12
Favorable outcomes: numbers that are not factors of 8 or 12. In other words, numbers that are not 1, 2, 3, 4, 6, 8, 12, 16, 24. There are 15 such numbers.
Possible outcomes: 30
Probability for part C) = Favorable outcomes / Possible outcomes = 15/30 = 1/2
So, the probabilities are:
A) 3/10
B) 17/30
C) 1/2