Question

3. Two unbaised coins are tossed simultaneously. Find the probability of getting
(i) at least one head (ii) no head.

Answer 1

Given :

Two unbiased coins are tossed simultaneously.

To find :

• At least one head
• No head

Solution :

When two unbiased coins are tossed, then its total outcomes :-

• Total number of outcomes = HH, TT, HT, TH

As we know that

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$\bullet\:{\boxed{\pmb{\frak{\purple{Probability =\dfrac{ Favourable\: outcomes}{Total\:number\:of\: outcomes}}}}}}$

⠀⠀

• As per given condition in the question

Probability of getting at least one head

★ Number of favourable outcomes = HH, HT, TH

★ Total number of outcomes = 4

Probability of getting at least one head = 3/4

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Probability of getting no heads

★ Number of favourable outcome = TT

★ Total number of outcomes = 4

Probability of getting no heads = 1/4

━━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

Question:-

• Two unbaised coins are tossed simultaneously. Find the probability of getting (i) at least one head (ii) no head.

Given:-

• Two unbaised coins are tossed simultaneously.

To Find:-

• Find the probability of getting (i) at least one head (ii) no head.

Solution:-

( i )

Probability of getting at least one head.

Favourable Outcomes:-

• Head , Head
• Head , Tail
• Tail , Tail
• Tail , Head

Total number of Outcomes :- 4

Probability of getting at least one head =$\tt \: \dfrac{ 3 } { 4 }$

( ii )

Total number of Outcomes :- 4

Probability of getting no head = $\tt \: \dfrac{ 1 } { 4 }$