Year 10 Probability Review

Fill in the blanks:

• 1. Top: number of favourable outcomes matching the event.  

  3. Bottom: total number of outcomes possible

   

• 1. Top: total number of outcomes possible.  

  3. Bottom: number of outcomes matching the event

   

• Top: number of possible outcomes.

  Bottom: number of unsuccessful outcomes

• Top: total number of outcomes. 

  Bottom: number of favourable outcomes

1. When rolling an unbiased, 6 sided die, the complement of the event 'rolling an even number' would be:

• Rolling a 2, 4, or 6

• 1. Rolling an odd number

• Rolling a 2, 3, or 4

• 1. Rolling an even number

Given that the theoretical probability of rolling a '1' on a die is 1/6, how many times would you expect to roll a '1' if you rolled the die 30 times.

• 1. 30 times

• 1. 6 times

• 1. 1 time

• 1. 5 times

James rolled a die 100 times and recorded the results in a table. Find the experimental probability (relative frequency) of rolling an even number.

• 1. 19/100

• 1. 13/25

• 1. 12/25

• 1. 48/50

In a group of 200 students, 42 study French only, 25 study German only and 8 study both. Find the probability that a student studies French or German:

• 1. 3/8

• 1. 1/25

• 1. 67/200

• 1. 5/8

A survey of 200 people was carried out to determine hair and eye colour. The results are shown in the table. What is the probability that a person surveyed has brown hair and brown eyes?

• 72/200

• 1. 22/200

• 1. 16/72

• 1. 2/25

A four-sided blue die and a four-sided red die are rolled and their product (×) is written down.  Find the probability of the dice faces multiplying to an odd number.

• 2/16

• 1/4

• 1. 5/16

• 1. 1/5

1. Three fair coins are tossed. Find the probability of obtaining at least one head:

• 1. P(H) = 7/8

• 1. P(H) = 8/7

• 1. P(H) = 1/2

• 1. P(H) = 7/14

1. The proportion of scholarship recipients at a particular university is 7/10. If three students are selected at random, what is the probability that at least one of the students is a scholarship recipient?

Hint: You can use the complementary event formula

• 7/10

• 1. 973/1000

• 1. 3/10

• 1. 27/1000

The proportion of scholarship recipients at a particular university is 7/10. If three students are selected at random,

what is the probability that at least one of the students is NOT a recipient of the scholarship?

Hint: You can use the complementary event formula

• 973/1000

• 7/10

• 3/10

• 1. 657/1000