#21 Ubabunty of getting a Jack then a Queen? 21. Extended Mutipicátion Rule: se
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#21
Ubabunty of getting a Jack then a Queen? 21. Extended Mutipicátion Rule: se thende mttion rule to calculate t probabilities (a) If you fip a coin 4 times, what is the probability of getting 4 heads If you randomly select 4 people, what is the probablity that they were born on the same day of the week (Monday, Tuesday. Sunday) ? (c) Assume that your carstarts 99% of the time. What is the probability that your car will start fr the next 14 days in a row. 22. Marbles: Suppose a box contains 12 marbles, 3 are red, 4 are blue, and 5 are yellow. Find the requested probabilities.Explanation / Answer
21)
a)as probability of getting a head on a single flip =1/2
therefore P(4 heads on 4 flips)=(1/2)*(1/2)*(1/2)*(1/2)=1/16
b) probability that they were born on same day =P(first person can born on any of 7 days ans second person has only one choice of birthday as first person ; third has 1 choice of 7 as first has and 4th person has same 1 choice out of 7 as first one has)=(7/7)*(1/7)*(1/7)*(1/7)=1/343
c)
P(car start for next 14 days in a row) =0.99*0.99*...14 times =(0.99)14 =0.868746
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