The probability that Ben does the math homework is 0.33 and the probability that he does the English homework is 0.25.
<h3>What is a probability tree?</h3>
A probability tree is a term that refers to a tool used in calculus to graphically represent the possible outcomes of a situation.
<h3>What are the chances that Ben will do his homework?</h3>
To calculate the probability that Ben will do his tasks, we perform the fraction that describes each of them as shown below:
Probability that he does the math homework: = 0.33 Probability that he will not do the math homework = 0.66
Probability that he does the English homework = 0.25Probability that he will not do the English homework = 0.75
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Using the principle of probability, the likelihood that Shreya wins by getting <em>2 blues and 1 red</em> is 0.416
<u>Creating</u><u> </u><u>an</u><u> </u><u>area</u><u> </u><u>model</u><u> </u><u>for</u><u> </u><u>the</u><u> </u><u>first</u><u> </u><u>two</u><u> </u><u>spinners</u><u> </u><u>:</u>
___ G _ B _ B _ R _R _R
R_RG_RB_RB_RR_RR_RR
R_RG_RB_RB_RR_RR_RR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
G_GG_GB_GB_GR_GR_GR
G_GG_GB_GB_GR_GR_GR
Creating an area model or tree diagram for the third spinner would result in a sample space of (48 × 12) = 576 combinations.
However, the probability that Shreya would win can be obtained thus :
<u>To win he needs to pick get 2 blues and 1 red</u> in any order :
3! = 3 × 2 × 1 = 6 ways
P(BBR) = 1/3 × 4/8 × 5/12 = 0.0694444
P(winning) = 6 × 0.0694444 = 0.416
Therefore, the probability that Shreya wins is 0.416.
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Answer:
I think the answer is Associative.
Step-by-step explanation:
Yes, Because if the final students that went were 75, 75/25=3 then you do 3 x 12 then you get 36, which is equal.
February is the only month that has a number of days divisible by 4 (to produce a integer).
That's because February has 28 days, and you can divide 28 by 4 to give you 7.
All the other months have 30 or 31, days, and 30 / 4 doesn't give you a whole number, and neither does 31.
To answer the second part of the question, no. During a leap year, February has 29 days. You can't divide 29 by 4 to give a whole number, hence it is then not true.