Question

Question #3cbef

Answer 1

A - certain
B-Unlikely
C-impossible
D-evens
E-Likely

Explanation:

Start off with the statements that require very little to no calculations.

A - certain. Monday always follows Tuesday, and since maths doesn't often take spontaneous apocalypses into account, this will be certain.

C-impossible. A standard dice contains the numbers from 1 to 6, and since `sqrt49=7`, and you cannot roll a 7, this is impossible.

D-evens When you toss a coin for long enough, say an infinite number of times, you would expect the number of heads and tails to be equal.

Now for B and E.

B-unlikely. An event is considered unlikely if the probability of it happening is less than `0.5` or `1/2` or `50%`. There are 52 cards in a standard deck, 4 of which are aces, so `P(Ace)=4/52` (this being the Probability of getting an ace. `P(Ace)=1/13<1/2` so this is unlikely.

D=likely - you can work out this through the process of elimination but regardless, we can also work it out. A factor is a number that goes into another number, eg 8 is a factor of 24, since 8 goes into 24 a whole number of times. The factors of 12 which are below and including 6 are: 1, 2, 3, 4, and 6 because
`1xx12=12`
`2xx6=12`
`3xx4=12`
So `P`(factor of 12)`=5/6>1/2` so this outcome is likely