Answer:
True
Step-by-step explanation:
When a coin is tossed six coins in a row, there are a total of outcomes.
The possible number of times for a heads are {0, 1, 2, 3, 4, 5, 6}.
Let our random variable, Number of coins that turn up heads be X
X={0, 1, 2, 3, 4, 5, 6}.
The event that X<3 and the event that X>3 cannot occur simultaneously in the same outcome.
In an outcome, its either one of the following happens:
- Number of heads = Number of Tails =3
- Number of heads < Number of Tails
- Number of heads > Number of Tails
- Number of heads cannot be greater than Number of Heads
Therefore, the events that X<3 and X>3 are independent.