Question

Which of the following events occur with a probability of zero? a. A single coin toss lands on heads and tails b. A calander month that contains neither 30 nor 31 days c. Turning a doorknob neither clockwise nor counterclockwise d. A math problen uhal io eu arithmetic nor geometry a. Does the event, "A single coin toss lands on heads and tails, occur with a probability of zero? The event occurs with a probability of zero. O The event does not occur with a probability of zero. b. Does the event, "A calander month that contains neither 30 nor 31 days,"occur with a probability of zero? O The event does not occur with a probability of zero. O The event occurs with a probability of zero. c. Does the event, "Turning a doorknob neither clockwise nor counterclockwise."occur with a probability of zero? O The event occurs with a probability of zero. O The event does not occur with a probability of zero. d. Does the event, "A math problem that is neither arithmetic nor geometry," occur with a probability of zero? O The event occurs with a probability of zero. 4" O The event does not occur with a probability of zero.

Answer 1

Perfect. Here, is the explanation

a. A single coin toss lands on heads and tails

- Tossing a coin has only two possible outcomes, either head or tail. It is not possible to have both of them simultaneously. Thus, given event occurs with zero probability.

b. A calender month that contains neither 30 nor 31 days.

- In February, we have less than 30 days. while in all other months we have atleast 30 days. Thus, required probability = 1/12 and not 0. Thus, given event does not occur with zero probability.

c. Turning a doornob neither clockwise nor counterclockwise.

- If we turn the doornob it will rotate. There are only two possible ways of rotation i.e. clockwise , counterclockwise. Thus, it is not possible to rotate doornob neither clockwise nor counterclockwise.Thus, given event occurs with zero probability

d. A math problem is neither arithmetic nor geometry

- Maths is classified in two parts i.e. algebra and geometry. So any given math problem will fall in any one of these two categories. Thus, it is not possible to have a problem in maths which is neither arithmetic nor geometry.Thus, given event occurs with zero probability