Question

Construct a sample space (list or make a tree diagram of all of the outcomes) for the experiment of

rolling a 12 sided die and flipping a coin at the same time. Assuming each outcome is equally likely, what is the probability of: DO NOT REDUCE
b) rolling a number less than 4 and getting heads?
c) rolling an odd number and getting tails?
d) rolling a 7 and getting ( heads or tails)

Answer 1

TREE DIAGRAM :

b.

P( rolling a number less than 4 and getting heads )

= P( rolling a number less than 4 )*P( getting heads )

= (3/12)*1/2

= 3/24

= 0.125

c.

P( rolling an odd number and getting tails )

= P( rolling an odd number )*P( getting tails )

= (6/12)*1/2

= 1/4

= 0.25

d.

P( rolling a 7 and getting heads/tails )

= P( rolling an 7 )*P( getting heads/tails )

= P( rolling an 7 )*( P( getting heads ) + P( getting tails ) )

= (1/12)*(1/2 + 1/2)

= 1/12

= 0.0833

(please UPVOTE)