Question

4. Use a tree diagram to display the possible outcomes when a coin is tossed three times

and use it to find the probability of tossing exactly 2 tails.

Answer 1

i. {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

ii. The probability of tossing exactly 2 tails is
`(3)/(8)` (or 0.375)

Explanation:

when a coin is tossed, the outcomes can either be a head or a tail. The tree diagram attached to this answer shows the display of the possible outcomes when a coin is tossed three times.

The possible outcomes when a coin is tossed three times are:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

where; H represents the head and T represents the tail.

Pr(tossing exactly 2 tails) =
`(number of outcome of 2 tails)/(total number of outcome)`

=
`(3)/(8)`

= 0.375

The probability of tossing exactly 2 tails is
`(3)/(8)` (or 0.375).