Question

All possible outcomes for flipping a coin three times are listed below (hhh,hth,hht,tth,tht,htt,ttt what is the probability of obtains at least 2 heads

Answer 1

p (A) = 3 / 7

Explanation:

Solution:-

- A coin is flipped 3 times. The sample space for the event is listed below:

S ( Coin flipped three times) = {hhh,hth,hht,tth,tht,htt,ttt}

- Since there are only two possibilities i.e we get either heads "h" or tails "t".

- The total number of outcomes in sample space "S" are = 7.

- An event A is defined as obtaining at-least 2 heads. The sample space of event A is:

Event A ( At-least 2 heads ) = { hhh,hth,hht }

Outcomes A= 3

- The probability for event A to occur i.e p(A) is:

p (A) = Outcomes (A) / Total outcomes in sample space S

p (A) = 3 / 7