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In this lesson, we will learn how to interpret a data set by finding and evaluating the theoretical probabilities.

Q1:

What it is the probability of rolling a number greater than or equal to 2 on a regular dice?

Q2:

A box contains 5 red marbles, 8 green marbles, and 4 yellow marbles. If a marble is picked from the box at random, what is the probability that the marble is red?

Q3:

If this spinner is spun once, what is the probability of getting a vowel? Give your answer as a fraction in its simplest form.

Q4:

If this spinner is spun once, what is the probability of NOT getting a vowel? Give your answer as a fraction.

Q5:

If this spinner is spun once, what is the probability of getting a letter in the word MONDAY? Give your answer as a fraction in its simplest form.

Q6:

When spinning a fair coin, what is the probability that it lands heads side up?

Q7:

What is the probability of rolling a number between 0 and 2 on a fair die?

Q8:

What it is the probability of rolling a number less than or equal to 1 on a regular dice?

Q9:

A number is chosen at random from the set { 3 , 4 , 7 , 8 } . What is the probability that the number is even?

Q10:

Two distinct digits are chosen at random from the set { 2 , 4 , 5 , 8 } . What is the probability that the sum of the two digits is 13?

Q11:

A box contains 7 white, 4 black, and 6 red balls. What is the probability of drawing a black ball from the box?

Q12:

A bag contains 5 yellow balls, 9 white balls, and 8 red balls. If a ball is chosen at random from the bag, what is the probability that it is white?

Q13:

A class of 60 students contains 32 boys and 28 girls. If a student is picked at random, what is the probability that the student is a girl?

Q14:

A school club has 25 boys and 13 girls. Of the members in the club 5 of the boys and 4 of the girls wear glasses. If a club member is chosen at random, what is the probability that they do not wear glasses?

Q15:

Determine the probability that the given fair spinner will stop on a green section when spun.

Q16:

The letters of the word “Sohag” are written on different cards and placed in a box. What is the probability of selecting at random the card with the letter “Y”?

Q17:

A magician asked a spectator to choose a card from a standard deck of playing cards. The spectator took a card, looked at it, and then put it back into the deck in a different position. The spectator, however, did not know that the magician had arranged the pack so that every black card had a red card on either side of it.

What is the probability that the magician would correctly identify the card?

If the magician asked the spectator to reveal the colour of the card they had chosen, what would the new probability of the magician correctly identifying the card be?

Q18:

What is the probability of rolling a number between 3 and 7 on a fair die?

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