Question

Assertion (A): Two coins are tossed simultaneously. Possible outcomes are two heads, one head and one tail, two tails. Hence, the probability of getting two heads is `1/3`.

Reason (R): Probabilities of ‘equally likely’ outcomes of an experiment are always equal.

Options

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

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

• Assertion (A) is true but reason (R) is false.

• Assertion (A) is false but reason (R) is true.

Answer 1

Assertion (A) is false but reason (R) is true.

Explanation:

⇒ Assertion (A) is false because when two coins are tossed, the possible outcomes are:

{HH, HT, TH, TT}

= 4 outcomes

Probability of getting two heads = `1/4`, not `1/3`.

⇒ Reason (R) is true because for equally likely outcomes, each outcome has the same probability.

Thus, assertion (A) is false but reason (R) is true.