If two balanced coins are tossed, then find the probability of : (i) getting one head and one tail. (ii) getti

Question 34 of 44

Q. If two balanced coins are tossed, then find the probability of :

(i) getting one head and one tail.

(ii) getting at least one head.

Gujarat GsebGujarat Board (GSEB) HSC Commerce Board 2025Subjective· 2mImportance★★★★★

77% · 34/44 Questions

🔒 Locked · start free trial →

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Start your 14-day free trial to unlock the full solution →

With sample space $\{HH, HT, TH, TT\}$ : (i) one head and one tail $= \tfrac{2}{4} = \tfrac12$ ; (ii) at least one head $= \tfrac{3}{4}$ .

GSEB Class-12 Statistics, Probability (classical approach):

When two balanced coins are tossed, the sample space is:

$S = \{HH, HT, TH, TT\}, \qquad n(S) = 4$

(i) One head and one tail: favourable outcomes $= \{HT, TH\}$ …

Start your 14-day free trial to unlock the full solution →

Same / Similar Concept — real previous-year questions on the same or a closely similar concept, not this exact question.

CBSE 2026Set MARCH1 markMCQ
$Q. Which of the following options is true for any event A of the sample space?$
(a) $P(A) < 0$
(b) $0 \le P(A) \ge 1$
(c) $0 \le P(A) \le 1$
(d) $P(A) > 1$
›Reveal solutionSolution

For any event $A$ , $0\le P(A)\le1$ .

By the axiomatic definition of probability, the probability of any event $A$ of the sample space satisfies $0\le P(A)\le1$ . It cannot be negative and cannot exceed $1$ . Option (b) is …

Start your 14-day free trial to see the full solution →
CBSE 2025Set MARCH1 markMCQ
$Q. What is the probability of having 5 Mondays in the month of February in a year which is not a leap year?$
(a) $0$
(b) $\frac{1}{7}$
(c) $\frac{2}{7}$
(d) $\frac{3}{7}$
›Reveal solutionSolution

A non-leap February has $28$ days $= 4$ full weeks, so every day of the week appears exactly $4$ times; getting $5$ Mondays is impossible, probability $= 0$ — option (a).

GSEB Class-12 Statistics, Probability:

In a non-leap year, February has $28$ days.

$28 = 4 \times 7$

…

Start your 14-day free trial to see the full solution →
CBSE 2022Set MARCH1 markMCQ
$Q. What is the other name of the classical definition of probability?$
(a) Mathematical Definition
(b) Axiomatic Definition
(c) Statistical Definition
(d) Geometric Definition
›Reveal solutionSolution

The classical definition of probability is also known as the mathematical (a priori) definition.

Reasoning. The classical approach defines $P(A) = \dfrac{\text{favourable outcomes}}{\text{total equally likely outcomes}}$ purely by reasoning/counting, before any experiment. Hence it is called the mathematical or a prior …

Start your 14-day free trial to see the full solution →

←Previous questionQ20 — Define mutually exclusive events.→Next questionQ22 — State the characteristics of random experiment.

Q.If two balanced coins are tossed, then find the probability of :

Concept understanding — Approaches to Probability — Classical, Relative Frequency and Axiomatic

Q.If two balanced coins are tossed, then find the probability of :

🎓Unlock everything free for 14 days

Unlock everything free for 14 days