1. a jar of sweets contains toffees,truffles, and creams in ration 3:7:8.
a sweet is chosen at random, what is the probability that it is a truffle?
2. mike rolls and ordinary dice and spins a fair 4-sided spinner. by drawing a sample space diagram or otherwise, work out the probability that the total score will be:
7
less than 5
a prime number.
a card is taken at random from an ordinary pack of cards. it is then replaced.this is done 390 times. how many times would you expect to see:
a heart
the ace of spades
a jack?
3. amy has a dice. she thinks it is biased. describe what amy could do to see if her dice is biased. give as much detail as you can.
4. chris spins three coins and records the results. he does this 240 times. one possible outcome is (head,head,head). find an estimate for the number of times he will get 2 heads and one tail (in any order).
5. megan buys 10 tickets in a raffle. three of these win a prize. she says that the probability of winning the raffle is 0.3.
give a reason why megan may be right.
give a reason why megan may be wrong.
6. a ball is taken at random from a bag containing 12 balls, of which B are black.
write down in terms of B, the probability that the ball will be:
black
not black
7. a fair tetrahedral dice (4-sided no. 1-4) an ordinary dice are each rolled. a win occurs when the number on the ordinary dice is greater than or equal to the number on the tetrahedral dice. find the probability of a win.
8.there are two parts to a driving test: the theory test and the practical test. you must pass the theory test before you pass the practical test. Selma plans to take her driving test.the probability that Selma will pass her theory test is 0.85. the probability that she will pass her practical test is 0.65. work out the probability that Selma will pass her driving test.
9. a naturalist wants to find out an estimate of the number of adult rabbits there are in a rabbit warren. he catches 24 of the adult rabbits from the warren and marks them with some dye. he returns to the rabbit warren. a few days later he catches 24 adult rabbits from the warren and finds that 6 are marked with dye. work out an estimate of the number of rabbits in the warren. suggest the sort of assumptions you needed to make when you worked out this estimate.
a sweet is chosen at random, what is the probability that it is a truffle?
2. mike rolls and ordinary dice and spins a fair 4-sided spinner. by drawing a sample space diagram or otherwise, work out the probability that the total score will be:
7
less than 5
a prime number.
a card is taken at random from an ordinary pack of cards. it is then replaced.this is done 390 times. how many times would you expect to see:
a heart
the ace of spades
a jack?
3. amy has a dice. she thinks it is biased. describe what amy could do to see if her dice is biased. give as much detail as you can.
4. chris spins three coins and records the results. he does this 240 times. one possible outcome is (head,head,head). find an estimate for the number of times he will get 2 heads and one tail (in any order).
5. megan buys 10 tickets in a raffle. three of these win a prize. she says that the probability of winning the raffle is 0.3.
give a reason why megan may be right.
give a reason why megan may be wrong.
6. a ball is taken at random from a bag containing 12 balls, of which B are black.
write down in terms of B, the probability that the ball will be:
black
not black
7. a fair tetrahedral dice (4-sided no. 1-4) an ordinary dice are each rolled. a win occurs when the number on the ordinary dice is greater than or equal to the number on the tetrahedral dice. find the probability of a win.
8.there are two parts to a driving test: the theory test and the practical test. you must pass the theory test before you pass the practical test. Selma plans to take her driving test.the probability that Selma will pass her theory test is 0.85. the probability that she will pass her practical test is 0.65. work out the probability that Selma will pass her driving test.
9. a naturalist wants to find out an estimate of the number of adult rabbits there are in a rabbit warren. he catches 24 of the adult rabbits from the warren and marks them with some dye. he returns to the rabbit warren. a few days later he catches 24 adult rabbits from the warren and finds that 6 are marked with dye. work out an estimate of the number of rabbits in the warren. suggest the sort of assumptions you needed to make when you worked out this estimate.
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