Question

Lucy throws a fair six sided dice . so like the letter that matches the probability of the dice landing on a number between 1 and 6.

(diagram in the image attached.)​

Answer 1

The probability of a fair six-sided dice landing on a number between 1 and 6 is 1 since all possible outcomes are covered. Letter B is the correct answer.

Lucy throws a fair six-sided dice, and the probability of the dice landing on a number between 1 and 6 is being asked.

Since a fair six-sided die has six faces, each with the numbers 1 through 6, and all outcomes are equally probable, the probability that the die will land on any one of these faces is indeed a certainty when it comes to a range that includes all possible outcomes.

Looking at the possible answers, probability is typically represented as a number between 0 and 1, where 0 means an event is impossible and 1 means it is certain.

Therefore, the probability of the die landing on a number between 1 and 6 is 1 because it is certain to land on one of these numbers as these are the only numbers on the die.

Thus, the correct answer to Lucy's question is 1, which corresponds to letter B.

Answer 2

Letter B matches the probability.

Explanation:

Lucy throws a fair six sided dice.

Probability of the dice landing on a number between 1 and 6 =
`\frac{\text{Favorable outcome}}{\text{Number of events}}`

=
`(1)/(6)`

On a number line fraction
`(1)/(6)` can be represented by,

An small section (A to B) will represent the fraction =
`(1)/(6)`

Therefore, letter B will match the probability of a dice landing on a number between 1 and 6.