We will flip a balanced coin 3 times and for each toss, record whether we get a Head or a Tail. Write all possible outcomes of this experiment to find the probability that we get exactly 2 heads.
Group of answer choices:
a. 1/8
b. 1/3
c. 3/8
d. 2/3

Respuesta :

You can count the number of total favorable cases and take its ratio with the count of total cases to get the intended probability.

The probability of getting exactly two heads is given  by

Option C : 3/8

How many outcomes are possible in toss of 3 coins?

Since each coin can have 2 outcomes (head and tail), and for each of them, second coin has 2 outcome and same for 3rd coin, thus, we have in total [tex]2 \times 2 \times 2 = 8[/tex]

Since we need exactly 2 heads, thus, total cases are:

(H,H,T), (H,T,H), (T,H,H)

(total 3 cases)

Thus, the probability for needed event is:

[tex]p = \dfrac{\text{Count of favorable cases}}{\text{Count of total cases}} = \dfrac{3}{8}[/tex]

Thus,

The probability of getting exactly two heads is given  by

Option C : 3/8

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