Jo walks to school everyday. The probability Jo is late on a Monday is 0.4. The probability Jo is late on a Tuesday is 0
Probability Trees - Independent Events Haseeb is going to play a tennis match and a squash match. 7 The probability he wins the tennis match is 10. 3
The probability he wins the squash match is 5. Complete the probability tree diagram. Tennis
7 10
Haseeb wins
Jo walks to school everyday. The probability Jo is late on a Monday is 0.4. The probability Jo is late on a Tuesday is 0.2. Complete the probability tree diagram.
3 5
0.2
Haseeb wins
0.4
Late
Late Not Late
Haseeb loses
Late Haseeb loses
Haseeb wins Haseeb loses
Calculate the probability that Haseeb will lose both matches.
Julia takes at random a pen from the pack notes the colour and puts it back in the pack.
Tuesday
Monday
Squash
There are 4 black pens, 4 blue pens and 2 red pens in a pack.
Not Late Not Late
Workout the probability that Jo is late on only one of the days.
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Work out the probability she selects two pens the same colour.
Answers
Probability Trees - Independent Events Haseeb is going to play a tennis match and a squash match. 7 The probability he wins the tennis match is 10. 3
The probability he wins the squash match is 5. Complete the probability tree diagram.
3 10
Haseeb wins
Haseeb loses
3 5
0.2
Haseeb wins
0.4 2 5 3 5
Haseeb loses
2 5
Haseeb loses
Haseeb wins
Calculate the probability that Haseeb will lose both matches. 3 2 6 3 Γ = = 10 5 50 25
Tuesday
Monday
Squash
Tennis
7 10
Jo walks to school everyday. The probability Jo is late on a Monday is 0.4. The probability Jo is late on a Tuesday is 0.2. Complete the probability tree diagram.
π π΅ππππ, π΅ππππ =
4 4 16 Γ = 10 10 100
π π΅ππ’π, π΅ππ’π =
4 4 16 Γ = 10 10 100
Late
0.8 0.2
0.6
Late
There are 4 black pens, 4 blue pens and 2 red pens in a pack. Julia takes at random a pen from the pack notes the colour and puts it back in the pack. Work out the probability she selects two pens the same colour.
Not Late Late
Not Late
π π ππ, π ππ = 0.8
Not Late
Workout the probability that Jo is late on only one of the days. π πΏππ‘π, πππ‘ πΏππ‘π = 0.4 Γ 0.8 = 0.32
