Which of these events are overlapping? Question 4 options: a) Rolling an even number or an odd number on a six-sided die. b) Pulling a spade or red card from a standard deck of cards. c) Randomly getting a red skittle or a yellow skittle from a bag. d) Rolling a 2 or an even number on a six-sided die.

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Mathematics

18 April, 01:23

Which of these events are overlapping? Question 4 options: a) Rolling an even number or an odd number on a six-sided die. b) Pulling a spade or red card from a standard deck of cards. c) Randomly getting a red skittle or a yellow skittle from a bag. d) Rolling a 2 or an even number on a six-sided die.

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Hailey Kaiser · Answer 1

Answer: option c.

Step-by-step explanation:

Overlapping events means that are events with common outcomes.

a) Rolling an even number or an odd number on a six-sided die.

Here the events are:

rolling an even number

rolling an odd number.

The events are not overlapping, because there is not an outcome in the die that satisfy both events.

b) Pulling a spade or red card from a standard deck of cards.

Those events are also not overlapping, because all spades are black cards, so if we draw a spade, it means that we do not draw a red card, and if we draw a red card, we do not draw a spade.

c) Randomly getting a red skittle or a yellow skittle from a bag.

Same as before, if you get a red one, you can not get a yellow, these events are not overlapping.

d) Rolling a 2 or an even number on a six-sided die.

Ok, 2 is an even number, this means that if we get a 2 in the die we are satisfying both events, this means that the events are overlapping.