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.

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

ii. The probability of tossing exactly 2 tails is (or 0.375)

Step-by-step 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) =

                                          =

                                          = 0.375

The probability of tossing exactly 2 tails is (or 0.375).

£56

step-by-step explanation: