Question

If three coins are tossed at the same time, use a tree diagram to find the probability that exactly one of the coins will land heads up.

Answer 1

Answer:

1/3. follow me ...... pls

Answer 2

Probability of getting exactly one of the coins will land heads up is 3/8.

Step-by-step explanation:

Given:

• If three coins are tossed at the same time.

To find:

• Use a tree diagram to find the probability that exactly one of the coins will land heads up.

Solution:

Concept/Formula to be used:

Probability of an event p(E)= Favourable response/Total outcomes

Step 1:

Draw tree diagram.

*Tree diagram is attached.

We know that total outcomes are two, i.e one head and one tail, when we tossed a coin.

When three coins are tossed,

Total outcomes $= {2}^{3}$

or

Total outcomes=8

So, here are the sample space of tossing three coins are

1) TTT--> When going through first branch

2)TTH-->...second branch and so on...

3) THT

4) THH

5) HTT

6) HTH

7) HHT

8) HHH

Favourable outcomes for exactly one of the coins will land heads up.

TTT

----------------> TTH

----------------> THT

THH

----------------> HTT

HTH

HHT

HHH

Step 2:

Find the probability.

As total outcomes are 8.

Favourable outcomes are 3.

Probability p(E) $\bf = \frac{3}{8}$

Thus,

Probability of getting exactly one of the coins will land heads up is 3/8.

Learn more:

1) Three coins are tossed once. Find the probability of getting 2 heads.

https://brainly.in/question/6633182

2) Three coins are tossed once. Find the probability of getting atleast 2 heads.

https://brainly.in/question/6633188

#SPJ3