Order the following events based on their theoretical probabilities, from highest probability to lowest. i. flipping a coin that lands heads up ii. rolling a 5 using a number cube numbered 1 to 6 iii. selecting a card with an odd number from a bag containing cards numbered 2-8

I. flipping a coin

III. selecting an odd-numbered card

II. rolling a 5

Step-by-step explanation:

I. there are 2 outcomes from a coin flip, 1 of which is heads. The probability of a flipped coin landing heads up is 1/2.

II. Of the 6 faces of the number cube, 1 is a 5. The probability of rolling a 5 is 1/6.

III. Of the 7 cards in the bag, 3 are odd-numbered. The probability of selecting an odd-numbered card is 3/7.

1/2 > 3/7 > 1/6, so the ordering you want is I, III, II.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

p

step-by-step explanation: