Probabilities Quiz

A rectangular piece of stained glass has the dimensions shown in the diagram.

What is the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid?

• $\frac{1}{3}$

• $\frac{4}{9}$

• $\frac{5}{9}$

• $\frac{2}{3}$

Tags

CCSS.HSG.MG.A.2

There are 5 red tiles and 5 blue tiles with the letter A in a bag. There are also 6 red tiles and 4 blue tiles with the letter B in the bag. What is the probability that a randomly selected tile is blue or has the letter B?

• $\frac{9}{20}$

• $\frac{1}{2}$

• $\frac{3}{4}$

• $\frac{19}{20}$

Tags

CCSS.HSS.CP.B.7

Which of the following pairs of events are independent? Select all that apply.

• Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.

• Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.

• Roll a 2 on a number cube and spin a 3 on a spinner.

• Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.

• Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

On a track and field team, 8% of the members run only long-distance, 32% compete only in field events, and 12% are sprinters only. Find the probability that a randomly chosen team member runs only long-distance or competes only in field events.

probability =

Tags

CCSS.HSS.CP.B.7

Find probabilities to complete the sentences.

The probability that Yuri will make a free throw is 0.3. The probability that he will make two consecutive free throws is ____ . The probability that he will make the first and not the second in two free throws is _____ . The probability that he will make neither of the two free throws is_____.

Put at comma after each answer to insert your next answer. Such as .09, .21 ,.49.

Tags

CCSS.HSS.CP.B.7