Question

James flips a fair numbered cube with faces numbered 1-6 and flips a quarter what is the probability that in one turn James could roll an odd number and flip a heads on the quarter

Answer 1

Therefore the probability that in one turn James could roll an odd number and fip a heads on the quarter is =
`(1)/(2)` ×
`(1)/(2)` =
`(1)/(4)`.

Explanation:

i) There are three odd numbered faces on the cube, that is the faces having 1, 3, and 5.

Therefore the probability of rolling an odd numbered face is =
`(1)/(6) + (1)/(6) + (1)/(6) = (1)/(2)` since the probability of rolling 1 = probability of rolling 3 = probability of rolling 5 =
`(1)/(6)`

ii) The probability of flipping a head on the quarter = probability of flipping a tail on the quarter =
`(1)/(2)`

iii) Therefore the probability that in one turn James could roll an odd number and fip a heads on the quarter is =
`(1)/(2)` ×
`(1)/(2)` =
`(1)/(4)`