The tree diagram below shows all of the possible outcomes for flipping three coins.
What is the probability that at least two of the coins will be tails?
1/8 3/8 1/2 3/4

The tree diagram below shows all of the possible outcomes for flipping three coins What is the probability that at least two of the coins will be tails 18 38 12 class=

Respuesta :

The probability that two of the coins will be tails is 1/2

It is 1/2 because "at least two tails" means that two tails and the rest of the number of tails, which is 3. In total the three coins have 6 sides. The chance of having two tails and one is three out of 6, simplified is 1/2 ;)

Answer:

Option C is correct.

Step-by-step explanation:

From given tree Diagram.

Total No of Outcome = 8

Let E be the event in which atleast 2 coins shoes tails.

Favorable outcome = { (H,T,T) , (T,H,T) , (T,T,H) , (T,T,T) }

⇒ No. of favorable outcome = 4

[tex]Probability\:of\:event\:E=\frac{No\:of\:favorable\:outcome}{Total\:no\:of\:outcome}[/tex]

[tex]P(E)=\frac{4}{8}=\frac{1}{2}[/tex]

Therefore, Option C is correct.