Question

Assertion (A): When two coins are tossed together, the probability of getting no tail is \[\frac{1}{4}\].

Reason (R): The probability P(E) of an event satisfies \[0\leq P(E)\leq 1\].

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

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

• Assertion (A) is true and Reason (R) is false.

• Assertion (A) is false and Reason (R) is true.

Answer 1

Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

Explanation:

Step 1 – Assertion: A is true. The outcomes are HH, HT, TH and TT; only HH has no tail, so the probability is \[\frac{1}{4}.\]

Step 2 – Reason: R is true. The probability of any event lies between 0 and 1, inclusive.

Step 3 – Link: R gives a general bound on probability, but does not explain how the probability in A is calculated.