ch 17 - Binomial distributions

It is estimated that 92% of students in Australia own a mobile phone. Two students are chosen at random. What is the probability that neither of them owns a mobile phone?

• 0.16

• 0.016

• 0.0064

• 0.064

Two ordinary dice are rolled. The score is the sum of the numbers on the top faces. What is the probability that the score is 9?

A chessboard has 32 black squares and 32 white squares. Amy chooses three different squares at random. What is the probability that the three squares Amy chooses are the same colour?

Tags

CCSS.HSS.CP.B.9

John has four pairs of socks in a drawer, each pair a different colour. He randomly selects socks one at a time from the drawer. What is the probability that he does not have a matching pair after selecting the fourth sock?

Tags

CCSS.HSS.CP.B.9

A set of four cards contains a jack, a queen and two kings. Henry selects one card and then, without replacing it, selects another. What is the probability that at least one of Henry’s cards is a king?

How many times would you need to roll a die so that the probability of rolling at least one five was greater than 83%?

• 9

• 10

• 11

• 12

A die has 12 faces displaying the numbers from 1 to 12. (It is in the shape of a regular polyhedron, so that when it is rolled, each number has the same probability of appearing on the uppermost face.) If it is rolled three times, what is the probability that the number 10 appears on the uppermost face exactly twice?

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

A fair, six-sided die is thrown seven times. What is the probability, correct to three decimal places, that a ‘3’ occurs on exactly two of the seven throws?

• 0.011

• 0.234

• 0.022

• 0.078

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

A pair of fair dice are tossed eight times. What is the probability, correct to three decimal places, of getting a sum of 9 on at least two occasions?

• 0.221

• 0.311

• 0.367

• 0.623