Chapter 11 Probability Worksheet Page 4
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PROBABILITY (Chapter 11)
We say that:
the estimated experimental probability is the relative frequency of the event.
We write: Experimental P(end) ¼ 0:148:
The larger the number of trials, the more confident we are that the experimental probability
obtained is accurate.
Example 1
Self Tutor
Find the experimental probability of:
tossing a head with one toss of a coin if it falls heads 96 times in 200 tosses
a
rolling a six with a die given that when it was rolled 300 times, a six occurred 54
b
times.
a
b
Experimental P(getting a head)
Experimental P(rolling a six)
= relative frequency of getting
= relative frequency of rolling a six
54
=
a head
300
96
=
= 0:18
200
= 0:48
EXERCISE 11A
1
Find the experimental probability of rolling an odd number with a die if an odd number
occurred 33 times when the die was rolled 60 times.
Clem fired 200 arrows at a target and hit the target 168 times. Find the experimental
2
probability of Clem hitting the target.
Ivy has free-range hens. Out of the first 123 eggs that they laid she found that 11 had
3
double-yolks. Calculate the experimental probability of getting a double-yolk egg from
her hens.
Jackson leaves for work at the same time each day. Over a period of 227 working days,
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on his way to work he had to wait for a train at the railway crossing on 58 days. Calculate
the experimental probability that Jackson has to wait for a train on his way to work.
Ravi has a circular spinner marked P, Q and R on 3 equal sectors. Find the experimental
5
probability of getting a Q if the spinner was twirled 417 times and finished on Q on 138
occasions.
6
Each time Claude shuffled a pack of cards
before a game, he recorded the suit of the top
card of the pack.
His results for 140 games were 34 Hearts, 36
Diamonds, 38 Spades and 32 Clubs.
Find the experimental probability that the top
card of a shuffled pack is:
a
b
a Heart
a Club or Diamond.
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