# Cards, Dice, and Students Determine whether theseevents are mutually exclusive:a. Draw a card: get a spade and get a 6b. Roll a die: get a prime number (2, 3, 5)c. Roll two dice: get a sum of 7 or get a sum that is an3.even numberd. Select a student at random in your class: get a maleor get a sophomore4-22

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Step 1

Hello there! I see that there are more than 3 subparts in the questions. According to our policies can answer only 3 sub parts. Please do find the solutions below for parts a,b and c. If you have doubt in last part d then kindly request it as a new question.

Step 2

Two events A and B are said to be mutually exlcusive if and only if both events cannot occur simultaneously. If event A occur then event B cannot occur and if event B occur then event A cannot occur.

Given draw a card : to get a spade  and get a 6.

Here Both events can occur together if we draw a spade 6 then we draw card that is spade and we draw a 6. Both events can occur simultaneously. So these are not mutually exclusive.

Step 3

Given roll  a die to get a prime number 2 3 5. Here if the event is to roll a prime number then it is only one event. If the event is to roll a  number 2 or to roll a number 3 or to roll number 5....

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