Question

Assertion (A): If a die is rolled, the probability of getting a number greater than 6 is `1/6`

Reason (R): There are six possible outcomes when rolling a die, {1, 2, 3, 4, 5, 6}.

Options

• (A) is true and (R) is false.

• (A) is false and (R) is true.

• Both (A) and (R) are true and (R) is the correct explanation of (A).

• Both (A) and (R) are true but (R) is not the correct explanation of (A).

Answer 1

(A) is false and (R) is true.

Explanation:

When a die is rolled,

Total number of possible outcomes = 6

S = {1, 2, 3, 4, 5, 6}

Let E be the event of getting a number greater than 6,

Number of favourable outcomes = 0

P(E) = `"Number of favourable outcomes​"/"Total number of outcomes "`

= `0/6`

= 0

Assertion (A) is false.

There are six possible outcomes when a die is rolled,

S = {1, 2, 3, 4, 5, 6}

Reason (R) is true.