Answer: 20% Chance
Step-by-step explanation:
Probability of flipping heads on a coin is 50% and this wheel landing on a even number is 40% you multiply .50 and .40 and you get .20.
Probability of spinning an even number and flipping heads P(A∩B) = (2 / 10).
" Probability is a mathematical expression which represents ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability= (Number of favourable outcomes) / (Total number of outcomes)
For Independent Event
P(A∩B) = P(A)×P(B)
According to the question,
'A' represents the probability of spinning an even number
'B' represents the probability of flipping heads
Possible outcomes on spinner = { 1, 2, 3, 4, 5}
Favourable outcomes of spinning an even number = 2
Total number of outcomes = 5
Substitute the value in the formula we get,
P(A) = ( 2 / 5)
Possible outcomes of flipping a coin = { head , tail}
Total outcomes of flipping a coin =2
Favourable outcomes flipping heads = 1
P(B) = (1 / 2)
Probability of spinning an even number and flipping heads P(A∩B)
A and B are independent events
Substitute the value of P(A) and P(B) in the formula we get,
P(A∩B) = ( 2/ 5)×(1/2)
= 2 /10
Hence, probability of spinning an even number and flipping heads P(A∩B) = (2 / 10).
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